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100012111100 = 225211181502321
BaseRepresentation
bin101110100100100101…
…1111011010011111100
3100120011000102122112222
41131021023323103330
53114311100023400
6113540034344512
710140251626556
oct1351113732374
9316130378488
10100012111100
1139462258380
1217471a2b138
13957b190185
144baa8d44d6
15290532d185
hex17492fb4fc

100012111100 has 72 divisors (see below), whose sum is σ = 238064460816. Its totient is φ = 36167040000.

The previous prime is 100012111097. The next prime is 100012111151. The reversal of 100012111100 is 1111210001.

It is a happy number.

100012111100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 52061 + ... + 450260.

Almost surely, 2100012111100 is an apocalyptic number.

100012111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100012111100 is an abundant number, since it is smaller than the sum of its proper divisors (138052349716).

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

100012111100 is a wasteful number, since it uses less digits than its factorization.

100012111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502527 (or 502520 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100012111100 its reverse (1111210001), we get a palindrome (101123321101).

It can be divided in two parts, 100012 and 111100, that added together give a palindrome (211112).

The spelling of 100012111100 in words is "one hundred billion, twelve million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 181 220 275 362 550 724 905 1100 1810 1991 3620 3982 4525 7964 9050 9955 18100 19910 39820 49775 99550 199100 502321 1004642 2009284 2511605 5023210 5525531 10046420 11051062 12558025 22102124 25116050 27627655 50232100 55255310 90920101 110510620 138138275 181840202 276276550 363680404 454600505 552553100 909201010 1000121111 1818402020 2000242222 2273002525 4000484444 4546005050 5000605555 9092010100 10001211110 20002422220 25003027775 50006055550 100012111100