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100112212112022 = 232113144417367207
BaseRepresentation
bin10110110000110100110000…
…110101110011001010010110
3111010110122010012012102212200
4112300310300311303022112
5101110214302300041042
6552530525413425330
730041603641306005
oct2660646065631226
9433418105172780
10100112212112022
11299983948a9840
12b28a50133b246
1343b2705a25476
141aa1657b06c3c
15b89235bc7c4c
hex5b0d30d73296

100112212112022 has 96 divisors (see below), whose sum is σ = 244268218681344. Its totient is φ = 29357679052800.

The previous prime is 100112212111969. The next prime is 100112212112027. The reversal of 100112212112022 is 220211212211001.

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 = 100112212111986 and 100112212112004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112212112027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 272447943 + ... + 272815149.

It is an arithmetic number, because the mean of its divisors is an integer number (2544460611264).

Almost surely, 2100112212112022 is an apocalyptic number.

100112212112022 is an abundant number, since it is smaller than the sum of its proper divisors (144156006569322).

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

100112212112022 is a wasteful number, since it uses less digits than its factorization.

100112212112022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411674 (or 411671 counting only the distinct ones).

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

Adding to 100112212112022 its reverse (220211212211001), we get a palindrome (320323424323023).

The spelling of 100112212112022 in words is "one hundred trillion, one hundred twelve billion, two hundred twelve million, one hundred twelve thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 186 198 279 341 558 682 1023 2046 3069 6138 44417 88834 133251 266502 367207 399753 488587 734414 799506 977174 1101621 1376927 1465761 2203242 2753854 2931522 3304863 4039277 4130781 4397283 6609726 8078554 8261562 8794566 11383417 12117831 12392343 15146197 22766834 24235662 24784686 30292394 34150251 36353493 45438591 68300502 72706986 90877182 102450753 125217587 136315773 204901506 250435174 272631546 375652761 751305522 1126958283 2253916566 16310233319 32620466638 48930699957 97861399914 146792099871 179412566509 293584199742 358825133018 505617232889 538237699527 1011234465778 1076475399054 1516851698667 1614713098581 3033703397334 3229426197162 4550555096001 5561789561779 9101110192002 11123579123558 16685368685337 33370737370674 50056106056011 100112212112022