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103042164056 = 23131731260647
BaseRepresentation
bin101111111110111001…
…0101010010101011000
3100211222012000021210112
41133331302222111120
53142012243222211
6115200435103452
710305323641316
oct1377562522530
9324865007715
10103042164056
113a777684a77
1217b78741b88
139941b67810
144db70c10b6
152a3135b88b
hex17fdcaa558

103042164056 has 96 divisors (see below), whose sum is σ = 227644693920. Its totient is φ = 43315799040.

The previous prime is 103042164023. The next prime is 103042164079. The reversal of 103042164056 is 650461240301.

103042164056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1030421640562 (a number of 23 digits) contains 22 as substring.

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, 1668725 + ... + 1729371.

It is an arithmetic number, because the mean of its divisors is an integer number (2371298895).

Almost surely, 2103042164056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103042164056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113822346960).

103042164056 is an abundant number, since it is smaller than the sum of its proper divisors (124602529864).

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

103042164056 is a wasteful number, since it uses less digits than its factorization.

103042164056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60745 (or 60710 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 103042164056 in words is "one hundred three billion, forty-two million, one hundred sixty-four thousand, fifty-six".

Divisors: 1 2 4 8 13 17 26 31 34 52 62 68 104 124 136 221 248 403 442 527 806 884 961 1054 1612 1768 1922 2108 3224 3844 4216 6851 7688 12493 13702 16337 24986 27404 32674 49972 54808 60647 65348 99944 121294 130696 212381 242588 424762 485176 788411 849524 1030999 1576822 1699048 1880057 2061998 3153644 3760114 4123996 6307288 7520228 8247992 13402987 15040456 24440741 26805974 31960969 48881482 53611948 58281767 63921938 97762964 107223896 116563534 127843876 195525928 233127068 255687752 415492597 466254136 757662971 830985194 990790039 1515325942 1661970388 1981580078 3030651884 3323940776 3963160156 6061303768 7926320312 12880270507 25760541014 51521082028 103042164056