Search a number
-
+
100221210111022 = 271113419271193993
BaseRepresentation
bin10110110010011010010001…
…101000001010110000101110
3111010212001110110011111021121
4112302122101220022300232
5101114011014242023042
6553052553251051154
730052513005102520
oct2662322150126056
9433761413144247
10100221210111022
1129a2a638389750
12b2a76605a0aba
1343bca86764470
141aa6a37bbba10
15b8beb4d46367
hex5b2691a0ac2e

100221210111022 has 64 divisors (see below), whose sum is σ = 201849098701824. Its totient is φ = 36042702186240.

The previous prime is 100221210111019. The next prime is 100221210111031. The reversal of 100221210111022 is 220111012122001.

It is a super-2 number, since 2×1002212101110222 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100221210110987 and 100221210111005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83340858 + ... + 84534850.

It is an arithmetic number, because the mean of its divisors is an integer number (3153892167216).

Almost surely, 2100221210111022 is an apocalyptic number.

100221210111022 is an abundant number, since it is smaller than the sum of its proper divisors (101627888590802).

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

100221210111022 is a wasteful number, since it uses less digits than its factorization.

100221210111022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235953.

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

Adding to 100221210111022 its reverse (220111012122001), we get a palindrome (320332222233023).

The spelling of 100221210111022 in words is "one hundred trillion, two hundred twenty-one billion, two hundred ten million, one hundred eleven thousand, twenty-two".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 1001 2002 41927 83854 293489 461197 545051 586978 922394 1090102 1193993 2387986 3228379 3815357 5995561 6456758 7630714 8357951 11991122 13133923 15521909 16715902 26267846 31043818 41968927 83937854 91937461 108653363 170740999 183874922 217306726 341481998 1195186993 2390373986 50060544511 100121089022 350423811577 550665989621 650787078643 700847623154 1101331979242 1301574157286 3854661927347 4555509550501 7158657865073 7709323854694 9111019101002 14317315730146 50110605055511 100221210111022