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3100031220 = 22351113227793
BaseRepresentation
bin1011100011000110…
…1011100011110100
322000001020220101010
42320301223203310
522322101444340
61231340232220
7136551554616
oct27061534364
98001226333
103100031220
111350983380
1272623b670
133a5339300
14215a04db6
15132252b80
hexb8c6b8f4

3100031220 has 144 divisors (see below), whose sum is σ = 10253984832. Its totient is φ = 693688320.

The previous prime is 3100031173. The next prime is 3100031257. The reversal of 3100031220 is 221300013.

It is a happy number.

It is a super-2 number, since 2×31000312202 = 19220387129949376800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 3100031196 and 3100031205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97644 + ... + 125436.

It is an arithmetic number, because the mean of its divisors is an integer number (71208228).

Almost surely, 23100031220 is an apocalyptic number.

3100031220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3100031220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5126992416).

3100031220 is an abundant number, since it is smaller than the sum of its proper divisors (7153953612).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3100031220 is a wasteful number, since it uses less digits than its factorization.

3100031220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27842 (or 27827 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 3100031220 is about 55677.9239914708. The cubic root of 3100031220 is about 1458.1046306354.

Adding to 3100031220 its reverse (221300013), we get a palindrome (3321331233).

The spelling of 3100031220 in words is "three billion, one hundred million, thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 130 132 143 156 165 169 195 220 260 286 330 338 390 429 507 572 660 676 715 780 845 858 1014 1430 1690 1716 1859 2028 2145 2535 2860 3380 3718 4290 5070 5577 7436 8580 9295 10140 11154 18590 22308 27793 27885 37180 55586 55770 83379 111172 111540 138965 166758 277930 305723 333516 361309 416895 555860 611446 722618 833790 917169 1083927 1222892 1445236 1528615 1667580 1806545 1834338 2167854 3057230 3613090 3668676 3974399 4335708 4585845 4697017 5419635 6114460 7226180 7948798 9171690 9394034 10839270 11923197 14091051 15897596 18343380 18788068 19871995 21678540 23485085 23846394 28182102 39743990 46970170 47692788 51667187 56364204 59615985 70455255 79487980 93940340 103334374 119231970 140910510 155001561 206668748 238463940 258335935 281821020 310003122 516671870 620006244 775007805 1033343740 1550015610 3100031220