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100010021112 = 2333463009357
BaseRepresentation
bin101110100100100001…
…1111101000011111000
3100120010212111110122000
41131021003331003320
53114310031133422
6113535521501000
710140225103401
oct1351103750370
9316125443560
10100010021112
1139461060111
12174711a1760
13957a90aab1
144baa50c9a8
152905068cac
hex17490fd0f8

100010021112 has 32 divisors (see below), whose sum is σ = 277805614800. Its totient is φ = 33336673632.

The previous prime is 100010021081. The next prime is 100010021117. The reversal of 100010021112 is 211120010001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100010021094 and 100010021103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010021117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 231504463 + ... + 231504894.

Almost surely, 2100010021112 is an apocalyptic number.

100010021112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100010021112 is an abundant number, since it is smaller than the sum of its proper divisors (177795593688).

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

100010021112 is a wasteful number, since it uses less digits than its factorization.

100010021112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463009372 (or 463009362 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100010021112 its reverse (211120010001), we get a palindrome (311130031113).

The spelling of 100010021112 in words is "one hundred billion, ten million, twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 463009357 926018714 1389028071 1852037428 2778056142 3704074856 4167084213 5556112284 8334168426 11112224568 12501252639 16668336852 25002505278 33336673704 50005010556 100010021112