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100222112112010 = 25717735779199637
BaseRepresentation
bin10110110010011011000111…
…011001000001110110001010
3111010212010210022102220000121
4112302123013121001312022
5101114014341200041020
6553053222552053454
730052544240014150
oct2662330731016612
9433763708386017
10100222112112010
1129a2aa60558409
12b2a787269428a
1343bcb9b5ab865
141aa6ac18d93d0
15b8c01911abaa
hex5b26c7641d8a

100222112112010 has 128 divisors (see below), whose sum is σ = 221328716613120. Its totient is φ = 31891879747584.

The previous prime is 100222112111941. The next prime is 100222112112011. The reversal of 100222112112010 is 10211211222001.

It is not an unprimeable number, because it can be changed into a prime (100222112112011) 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 63 ways as a sum of consecutive naturals, for example, 501921912 + ... + 502121548.

It is an arithmetic number, because the mean of its divisors is an integer number (1729130598540).

Almost surely, 2100222112112010 is an apocalyptic number.

100222112112010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100222112112010 is an abundant number, since it is smaller than the sum of its proper divisors (121106604501110).

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

100222112112010 is a wasteful number, since it uses less digits than its factorization.

100222112112010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205520.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100222112112010 its reverse (10211211222001), we get a palindrome (110433323334011).

The spelling of 100222112112010 in words is "one hundred trillion, two hundred twenty-two billion, one hundred twelve million, one hundred twelve thousand, ten".

Divisors: 1 2 5 7 10 14 17 34 35 70 73 85 119 146 170 238 365 511 595 730 1022 1190 1241 2482 2555 5110 5779 6205 8687 11558 12410 17374 28895 40453 43435 57790 80906 86870 98243 196486 199637 202265 399274 404530 421867 491215 687701 843734 982430 998185 1375402 1397459 1996370 2109335 2794918 2953069 3393829 3438505 4218670 5906138 6787658 6877010 6987295 7171739 13974590 14343478 14573501 14765345 16969145 23756803 29147002 29530690 33938290 35858695 47513606 50202173 71717390 72867505 100404346 102014507 118784015 145735010 204029014 237568030 247749517 251010865 495499034 502021730 510072535 1020145070 1153702223 1238747585 1734246619 2307404446 2477495170 3468493238 5768511115 8075915561 8671233095 11537022230 16151831122 17342466190 19612937791 39225875582 40379577805 80759155610 84220262279 98064688955 137290564537 168440524558 196129377910 274581129074 421101311395 589541835953 686452822685 842202622790 1179083671906 1372905645370 1431744458743 2863488917486 2947709179765 5895418359530 7158722293715 10022211211201 14317444587430 20044422422402 50111056056005 100222112112010