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100112221012122 = 23311315436744923
BaseRepresentation
bin10110110000110100110001…
…010111110000000010011010
3111010110122010210221121112000
4112300310301113300002122
5101110214312034341442
6552530530332301430
730041604110044554
oct2660646127600232
9433418123847460
10100112221012122
11299983999285a0
12b28a504311876
1343b27078204b7
141aa1658d824d4
15b89236884d4c
hex5b0d315f009a

100112221012122 has 64 divisors (see below), whose sum is σ = 250525206097920. Its totient is φ = 29358422578800.

The previous prime is 100112221012079. The next prime is 100112221012123. The reversal of 100112221012122 is 221210122211001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100112221012095 and 100112221012104.

It is not an unprimeable number, because it can be changed into a prime (100112221012123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2718354048 + ... + 2718390875.

It is an arithmetic number, because the mean of its divisors is an integer number (3914456345280).

Almost surely, 2100112221012122 is an apocalyptic number.

100112221012122 is an abundant number, since it is smaller than the sum of its proper divisors (150412985085798).

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

100112221012122 is a wasteful number, since it uses less digits than its factorization.

100112221012122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5436744976 (or 5436744970 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100112221012122 its reverse (221210122211001), we get a palindrome (321322343223123).

The spelling of 100112221012122 in words is "one hundred trillion, one hundred twelve billion, two hundred twenty-one million, twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 54 62 66 93 99 186 198 279 297 341 558 594 682 837 1023 1674 2046 3069 6138 9207 18414 5436744923 10873489846 16310234769 32620469538 48930704307 59804194153 97861408614 119608388306 146792112921 168539092613 179412582459 293584225842 337078185226 358825164918 505617277839 538237747377 1011234555678 1076475494754 1516851833517 1614713242131 1853930018743 3033703667034 3229426484262 3707860037486 4550555500551 5561790056229 9101111001102 11123580112458 16685370168687 33370740337374 50056110506061 100112221012122