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10103322960 = 2432519738547
BaseRepresentation
bin10010110100011010…
…00111100101010000
3222002010011222120200
421122031013211100
5131142422313320
64350313135200
7505240554033
oct113215074520
928063158520
1010103322960
114315076095
121b5b6ba500
13c50225613
146bbb7b01a
153e1ebc290
hex25a347950

10103322960 has 120 divisors (see below), whose sum is σ = 35716181280. Its totient is φ = 2552414976.

The previous prime is 10103322949. The next prime is 10103322973. The reversal of 10103322960 is 6922330101.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 355594 + ... + 382953.

It is an arithmetic number, because the mean of its divisors is an integer number (297634844).

Almost surely, 210103322960 is an apocalyptic number.

10103322960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10103322960 is an abundant number, since it is smaller than the sum of its proper divisors (25612858320).

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

10103322960 is a wasteful number, since it uses less digits than its factorization.

10103322960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738585 (or 738576 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 10103322960 in words is "ten billion, one hundred three million, three hundred twenty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 36 38 40 45 48 57 60 72 76 80 90 95 114 120 144 152 171 180 190 228 240 285 304 342 360 380 456 570 684 720 760 855 912 1140 1368 1520 1710 2280 2736 3420 4560 6840 13680 738547 1477094 2215641 2954188 3692735 4431282 5908376 6646923 7385470 8862564 11078205 11816752 13293846 14032393 14770940 17725128 22156410 26587692 28064786 29541880 33234615 35450256 42097179 44312820 53175384 56129572 59083760 66469230 70161965 84194358 88625640 106350768 112259144 126291537 132938460 140323930 168388716 177251280 210485895 224518288 252583074 265876920 280647860 336777432 420971790 505166148 531753840 561295720 631457685 673554864 841943580 1010332296 1122591440 1262915370 1683887160 2020664592 2525830740 3367774320 5051661480 10103322960