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100010001111100 = 22523137985122139
BaseRepresentation
bin10110101111010101100100…
…100101110001100000111100
3111010002212021221011121112221
4112233111210211301200330
5101102030440241023400
6552411543225135124
730031325026162453
oct2657254445614074
9433085257147487
10100010001111100
112995900440aa53
12b27273702a4a4
1343a5b97132072
141a9a71d183b9a
15b867527ebc1a
hex5af56497183c

100010001111100 has 72 divisors (see below), whose sum is σ = 224613493260800. Its totient is φ = 38611401796800.

The previous prime is 100010001111077. The next prime is 100010001111113. The reversal of 100010001111100 is 1111100010001.

It is a happy number.

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, 41386170 + ... + 43735969.

Almost surely, 2100010001111100 is an apocalyptic number.

100010001111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100010001111100 is an abundant number, since it is smaller than the sum of its proper divisors (124603492149700).

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

100010001111100 is a wasteful number, since it uses less digits than its factorization.

100010001111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85122563 (or 85122556 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100010001111100 its reverse (1111100010001), we get a palindrome (101121101121101).

The spelling of 100010001111100 in words is "one hundred trillion, ten billion, one million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 379 620 758 775 1516 1550 1895 3100 3790 7580 9475 11749 18950 23498 37900 46996 58745 117490 234980 293725 587450 1174900 85122139 170244278 340488556 425610695 851221390 1702442780 2128053475 2638786309 4256106950 5277572618 8512213900 10555145236 13193931545 26387863090 32261290681 52775726180 64522581362 65969657725 129045162724 131939315450 161306453405 263878630900 322612906810 645225813620 806532267025 1000100011111 1613064534050 2000200022222 3226129068100 4000400044444 5000500055555 10001000111110 20002000222220 25002500277775 50005000555550 100010001111100