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100122111012 = 223721115479609
BaseRepresentation
bin101110100111110111…
…1100010110000100100
3100120102200102020001210
41131033233202300210
53120022230023022
6113555004151420
710143055621200
oct1351757426044
9316380366053
10100122111012
11395093599a0
12174a2838570
139597bc5491
144bbb369b00
15290ed0aa0c
hex174fbe2c24

100122111012 has 72 divisors (see below), whose sum is σ = 296465490720. Its totient is φ = 26005741440.

The previous prime is 100122110983. The next prime is 100122111017. The reversal of 100122111012 is 210111221001.

It is a super-2 number, since 2×1001221110122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (100122111017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7733337 + ... + 7746272.

It is an arithmetic number, because the mean of its divisors is an integer number (4117576260).

Almost surely, 2100122111012 is an apocalyptic number.

100122111012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100122111012 is an abundant number, since it is smaller than the sum of its proper divisors (196343379708).

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

100122111012 is a wasteful number, since it uses less digits than its factorization.

100122111012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15479641 (or 15479632 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100122111012 its reverse (210111221001), we get a palindrome (310233332013).

The spelling of 100122111012 in words is "one hundred billion, one hundred twenty-two million, one hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 294 308 462 539 588 924 1078 1617 2156 3234 6468 15479609 30959218 46438827 61918436 92877654 108357263 170275699 185755308 216714526 325071789 340551398 433429052 510827097 650143578 681102796 758500841 1021654194 1191929893 1300287156 1517001682 2043308388 2275502523 2383859786 3034003364 3575789679 4551005046 4767719572 7151579358 8343509251 9102010092 14303158716 16687018502 25030527753 33374037004 50061055506 100122111012