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103154220 = 223251323391
BaseRepresentation
bin1100010011000…
…00001000101100
321012002202222200
412021200020230
5202401413340
614122541500
72361540111
oct611401054
9235082880
10103154220
1153256324
122a667890
13184a9400
14d9b2908
1590c9330
hex626022c

103154220 has 108 divisors (see below), whose sum is σ = 338921856. Its totient is φ = 25384320.

The previous prime is 103154213. The next prime is 103154231. The reversal of 103154220 is 22451301.

103154220 is a `hidden beast` number, since 103 + 1 + 542 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103154193 and 103154202.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28725 + ... + 32115.

Almost surely, 2103154220 is an apocalyptic number.

103154220 is a gapful number since it is divisible by the number (10) 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 103154220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169460928).

103154220 is an abundant number, since it is smaller than the sum of its proper divisors (235767636).

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

103154220 is a wasteful number, since it uses less digits than its factorization.

103154220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3432 (or 3414 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 103154220 is about 10156.4865972441. The cubic root of 103154220 is about 468.9886507438.

It can be divided in two parts, 10315 and 4220, that added together give a triangular number (14535 = T170).

The spelling of 103154220 in words is "one hundred three million, one hundred fifty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 169 180 195 234 260 338 390 468 507 585 676 780 845 1014 1170 1521 1690 2028 2340 2535 3042 3380 3391 5070 6084 6782 7605 10140 10173 13564 15210 16955 20346 30420 30519 33910 40692 44083 50865 61038 67820 88166 101730 122076 132249 152595 176332 203460 220415 264498 305190 396747 440830 528996 573079 610380 661245 793494 881660 1146158 1322490 1586988 1719237 1983735 2292316 2644980 2865395 3438474 3967470 5157711 5730790 6876948 7934940 8596185 10315422 11461580 17192370 20630844 25788555 34384740 51577110 103154220