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100116655100 = 225271113002163
BaseRepresentation
bin101110100111101101…
…0101110101111111100
3100120102022011000221222
41131033122232233330
53120014330430400
6113554251212512
710142661345560
oct1351732565774
9316368130858
10100116655100
1139506272880
12174a0a47138
139596a35027
144bba7496a0
15290e5ce185
hex174f6aebfc

100116655100 has 72 divisors (see below), whose sum is σ = 270861080448. Its totient is φ = 31205188800.

The previous prime is 100116655073. The next prime is 100116655109. The reversal of 100116655100 is 1556611001.

It is a super-3 number, since 3×1001166551003 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100116655100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100116655109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6493382 + ... + 6508781.

Almost surely, 2100116655100 is an apocalyptic number.

100116655100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100116655100 is an abundant number, since it is smaller than the sum of its proper divisors (170744425348).

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

100116655100 is a wasteful number, since it uses less digits than its factorization.

100116655100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13002195 (or 13002188 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 26.

The spelling of 100116655100 in words is "one hundred billion, one hundred sixteen million, six hundred fifty-five thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1540 1925 3850 7700 13002163 26004326 52008652 65010815 91015141 130021630 143023793 182030282 260043260 286047586 325054075 364060564 455075705 572095172 650108150 715118965 910151410 1001166551 1300216300 1430237930 1820302820 2002333102 2275378525 2860475860 3575594825 4004666204 4550757050 5005832755 7151189650 9101514100 10011665510 14302379300 20023331020 25029163775 50058327550 100116655100