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100202213112 = 23329173832189
BaseRepresentation
bin101110101010010000…
…1000110111011111000
3100120122021010211111020
41131110201012323320
53120203231304422
6114010545102440
710145050521051
oct1352441067370
9316567124436
10100202213112
113954a59a881
1217505627a20
1395ab690181
144bc7c5b728
152916d7e95c
hex1754846ef8

100202213112 has 64 divisors (see below), whose sum is σ = 260641908000. Its totient is φ = 32062539264.

The previous prime is 100202213101. The next prime is 100202213113. The reversal of 100202213112 is 211312202001.

It is a junction number, because it is equal to n+sod(n) for n = 100202213091 and 100202213100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100202213113) 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 15 ways as a sum of consecutive naturals, for example, 295687 + ... + 536502.

Almost surely, 2100202213112 is an apocalyptic number.

100202213112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100202213112 is an abundant number, since it is smaller than the sum of its proper divisors (160439694888).

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

100202213112 is a wasteful number, since it uses less digits than its factorization.

100202213112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832400 (or 832396 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 100202213112 its reverse (211312202001), we get a palindrome (311514415113).

The spelling of 100202213112 in words is "one hundred billion, two hundred two million, two hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 173 174 232 346 348 519 692 696 1038 1384 2076 4152 5017 10034 15051 20068 30102 40136 60204 120408 832189 1664378 2496567 3328756 4993134 6657512 9986268 19972536 24133481 48266962 72400443 96533924 143968697 144800886 193067848 287937394 289601772 431906091 575874788 579203544 863812182 1151749576 1727624364 3455248728 4175092213 8350184426 12525276639 16700368852 25050553278 33400737704 50101106556 100202213112