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100112233112122 = 2711191131571928567
BaseRepresentation
bin10110110000110100110010…
…000101111010001000111010
3111010110122011122201100121011
4112300310302011322020322
5101110214323134041442
6552530531443504134
730041604314641540
oct2660646205721072
9433418148640534
10100112233112122
11299983a57424a0
12b28a50838804a
1343b270a198b6a
141aa165a811d90
15b89237975117
hex5b0d3217a23a

100112233112122 has 128 divisors (see below), whose sum is σ = 200087232860160. Its totient is φ = 36391577564160.

The previous prime is 100112233112071. The next prime is 100112233112123. The reversal of 100112233112122 is 221211332211001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 100112233112093 and 100112233112102.

It is not an unprimeable number, because it can be changed into a prime (100112233112123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50945883 + ... + 52874449.

It is an arithmetic number, because the mean of its divisors is an integer number (1563181506720).

Almost surely, 2100112233112122 is an apocalyptic number.

100112233112122 is a deficient number, since it is larger than the sum of its proper divisors (99974999748038).

100112233112122 is a wasteful number, since it uses less digits than its factorization.

100112233112122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1928876.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 100112233112122 its reverse (221211332211001), we get a palindrome (321323565323123).

The spelling of 100112233112122 in words is "one hundred trillion, one hundred twelve billion, two hundred thirty-three million, one hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 7 11 14 19 22 38 77 113 133 154 157 209 226 266 314 418 791 1099 1243 1463 1582 1727 2147 2198 2486 2926 2983 3454 4294 5966 8701 12089 15029 17402 17741 20881 23617 24178 30058 32813 35482 41762 47234 65626 124187 165319 195151 229691 248374 330638 337079 390302 459382 674158 1366057 1928567 2359553 2732114 3707869 3857134 4719106 7415738 13499969 21214237 25955083 26999938 36642773 42428474 51910166 73285546 148499659 217928071 256499411 296999318 302785019 403070503 435856142 512998822 605570038 806141006 1525496497 2119495133 2397208781 2821493521 3050992994 3330635209 4140633349 4238990266 4794417562 5642987042 5752915361 6661270418 8281266698 11505830722 16780461467 23314446463 28984433443 33560922934 34214707147 40270407527 45546966839 46628892926 57968866886 63282068971 68429414294 80540815054 91093933678 126564137942 239502950029 318828767873 376361778617 442974482797 479005900058 637657535746 650079435793 752723557234 885948965594 1300158871586 2634532450319 4550556050551 5269064900638 7150873793723 9101112101102 14301747587446 50056116556061 100112233112122