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100012000112 = 2431474290151
BaseRepresentation
bin101110100100100101…
…1100000001101110000
3100120011000020000022022
41131021023200031300
53114311033000422
6113540032131012
710140250655153
oct1351113401560
9316130200268
10100012000112
1139462191a52
1217471996a68
13957b1517bb
144baa8a5c9a
15290530a342
hex17492e0370

100012000112 has 40 divisors (see below), whose sum is σ = 204279877632. Its totient is φ = 47363256000.

The previous prime is 100012000097. The next prime is 100012000117. The reversal of 100012000112 is 211000210001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 100012000112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100012000117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2121764 + ... + 2168387.

Almost surely, 2100012000112 is an apocalyptic number.

It is an amenable number.

100012000112 is an abundant number, since it is smaller than the sum of its proper divisors (104267877520).

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

100012000112 is a wasteful number, since it uses less digits than its factorization.

100012000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4290237 (or 4290231 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100012000112 its reverse (211000210001), we get a palindrome (311012210113).

The spelling of 100012000112 in words is "one hundred billion, twelve million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 8 16 31 47 62 94 124 188 248 376 496 752 1457 2914 5828 11656 23312 4290151 8580302 17160604 34321208 68642416 132994681 201637097 265989362 403274194 531978724 806548388 1063957448 1613096776 2127914896 3226193552 6250750007 12501500014 25003000028 50006000056 100012000112