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3101130120 = 2335114157301
BaseRepresentation
bin1011100011010111…
…0111110110001000
322000010022201210010
42320311313312020
522322342130440
61231415551520
7136564112454
oct27065676610
98003281703
103101130120
111351563a60
1272668b5a0
133a563254a
14215c0d664
151323bd580
hexb8d77d88

3101130120 has 128 divisors (see below), whose sum is σ = 10396874880. Its totient is φ = 733440000.

The previous prime is 3101130103. The next prime is 3101130127. The reversal of 3101130120 is 210311013.

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 = 3101130096 and 3101130105.

It is not an unprimeable number, because it can be changed into a prime (3101130127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25470 + ... + 82770.

It is an arithmetic number, because the mean of its divisors is an integer number (81225585).

Almost surely, 23101130120 is an apocalyptic number.

3101130120 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 3101130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5198437440).

3101130120 is an abundant number, since it is smaller than the sum of its proper divisors (7295744760).

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

3101130120 is a wasteful number, since it uses less digits than its factorization.

3101130120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57367 (or 57363 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 3101130120 is about 55687.7914807186. The cubic root of 3101130120 is about 1458.2769000711.

Adding to 3101130120 its reverse (210311013), we get a palindrome (3311441133).

The spelling of 3101130120 in words is "three billion, one hundred one million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 41 44 55 60 66 82 88 110 120 123 132 164 165 205 220 246 264 328 330 410 440 451 492 615 660 820 902 984 1230 1320 1353 1640 1804 2255 2460 2706 3608 4510 4920 5412 6765 9020 10824 13530 18040 27060 54120 57301 114602 171903 229204 286505 343806 458408 573010 630311 687612 859515 1146020 1260622 1375224 1719030 1890933 2292040 2349341 2521244 3151555 3438060 3781866 4698682 5042488 6303110 6876120 7048023 7563732 9397364 9454665 11746705 12606220 14096046 15127464 18794728 18909330 23493410 25212440 25842751 28192092 35240115 37818660 46986820 51685502 56384184 70480230 75637320 77528253 93973640 103371004 129213755 140960460 155056506 206742008 258427510 281920920 310113012 387641265 516855020 620226024 775282530 1033710040 1550565060 3101130120