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100600600056 = 233111923386077
BaseRepresentation
bin101110110110001000…
…0110101010111111000
3100121200000202222122020
41131230100311113320
53122012223200211
6114114255554440
710160655664035
oct1355420652770
9317600688566
10100600600056
1139734463890
12175b6b2ba20
1396430884a8
144c24b2238c
15293bd25306
hex176c4355f8

100600600056 has 128 divisors (see below), whose sum is σ = 290048428800. Its totient is φ = 28756270080.

The previous prime is 100600600049. The next prime is 100600600081. The reversal of 100600600056 is 650006006001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 100600599999 and 100600600035.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1125690 + ... + 1211766.

It is an arithmetic number, because the mean of its divisors is an integer number (2266003350).

Almost surely, 2100600600056 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 100600600056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145024214400).

100600600056 is an abundant number, since it is smaller than the sum of its proper divisors (189447828744).

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

100600600056 is a wasteful number, since it uses less digits than its factorization.

100600600056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86349 (or 86345 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 100600600056 its reverse (650006006001), we get a palindrome (750606606057).

The spelling of 100600600056 in words is "one hundred billion, six hundred million, six hundred thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 233 264 418 456 466 627 699 836 932 1254 1398 1672 1864 2508 2563 2796 4427 5016 5126 5592 7689 8854 10252 13281 15378 17708 20504 26562 30756 35416 48697 53124 61512 86077 97394 106248 146091 172154 194788 258231 292182 344308 389576 516462 584364 688616 946847 1032924 1168728 1635463 1893694 2065848 2840541 3270926 3787388 4906389 5681082 6541852 7574776 9812778 11362164 13083704 17990093 19625556 20055941 22724328 35980186 39251112 40111882 53970279 60167823 71960372 80223764 107940558 120335646 143920744 160447528 215881116 220615351 240671292 381062879 431762232 441230702 481342584 661846053 762125758 882461404 1143188637 1323692106 1524251516 1764922808 2286377274 2647384212 3048503032 4191691669 4572754548 5294768424 8383383338 9145509096 12575075007 16766766676 25150150014 33533533352 50300300028 100600600056