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100012120110 = 23257712235907
BaseRepresentation
bin101110100100100101…
…1111101100000101110
3100120011000110002220200
41131021023331200232
53114311100320420
6113540034454330
710140251665050
oct1351113754056
9316130402820
10100012120110
1139462264121
1217471a343a6
13957b1942c6
144baa8d78d0
152905330b90
hex17492fd82e

100012120110 has 96 divisors (see below), whose sum is σ = 301364623872. Its totient is φ = 22537932480.

The previous prime is 100012120097. The next prime is 100012120151. The reversal of 100012120110 is 11021210001.

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 = 100012120092 and 100012120101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1073224 + ... + 1162683.

It is an arithmetic number, because the mean of its divisors is an integer number (3139214832).

Almost surely, 2100012120110 is an apocalyptic number.

100012120110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100012120110 is an abundant number, since it is smaller than the sum of its proper divisors (201352503762).

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

100012120110 is a wasteful number, since it uses less digits than its factorization.

100012120110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2235998 (or 2235995 counting only the distinct ones).

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

Adding to 100012120110 its reverse (11021210001), we get a palindrome (111033330111).

The spelling of 100012120110 in words is "one hundred billion, twelve million, one hundred twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 71 90 105 126 142 210 213 315 355 426 497 630 639 710 994 1065 1278 1491 2130 2485 2982 3195 4473 4970 6390 7455 8946 14910 22365 44730 2235907 4471814 6707721 11179535 13415442 15651349 20123163 22359070 31302698 33538605 40246326 46954047 67077210 78256745 93908094 100615815 140862141 156513490 158749397 201231630 234770235 281724282 317498794 469540470 476248191 704310705 793746985 952496382 1111245779 1408621410 1428744573 1587493970 2222491558 2381240955 2857489146 3333737337 4762481910 5556228895 6667474674 7143722865 10001212011 11112457790 14287445730 16668686685 20002424022 33337373370 50006060055 100012120110