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102201112200222 = 2337275175138321
BaseRepresentation
bin10111001111001110001100…
…111111010000010000011110
3111101212022221020020200122000
4113033032030333100100132
5101343430334210401342
61001210313124103130
730345533556142500
oct2717161477202036
9441768836220560
10102201112200222
112a6232805066a2
12b567315834aa6
1345046a625c309
141b347bb379d70
15bc37436b744c
hex5cf38cfd041e

102201112200222 has 96 divisors (see below), whose sum is σ = 264228548804640. Its totient is φ = 29196427518720.

The previous prime is 102201112200137. The next prime is 102201112200289. The reversal of 102201112200222 is 222002211102201.

It is a happy number.

102201112200222 is a `hidden beast` number, since 1 + 0 + 220 + 1 + 1 + 1 + 220 + 0 + 222 = 666.

It is a super-2 number, since 2×1022011122002222 (a number of 29 digits) contains 22 as substring.

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 = 102201112200195 and 102201112200204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17320822 + ... + 22459142.

It is an arithmetic number, because the mean of its divisors is an integer number (2752380716715).

Almost surely, 2102201112200222 is an apocalyptic number.

102201112200222 is an abundant number, since it is smaller than the sum of its proper divisors (162027436604418).

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

102201112200222 is a wasteful number, since it uses less digits than its factorization.

102201112200222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5145863 (or 5145850 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102201112200222 its reverse (222002211102201), we get a palindrome (324203323302423).

The spelling of 102201112200222 in words is "one hundred two trillion, two hundred one billion, one hundred twelve million, two hundred thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 882 1323 2646 7517 15034 22551 45102 52619 67653 105238 135306 157857 202959 315714 368333 405918 473571 736666 947142 1104999 1420713 2209998 2841426 3314997 5138321 6629994 9944991 10276642 15414963 19889982 30829926 35968247 46244889 71936494 92489778 107904741 138734667 215809482 251777729 277469334 323714223 503555458 647428446 755333187 971142669 1510666374 1942285338 2265999561 4531999122 6797998683 13595997366 38624758957 77249517914 115874276871 231748553742 270373312699 347622830613 540746625398 695245661226 811119938097 1042868491839 1622239876194 1892613188893 2085736983678 2433359814291 3785226377786 4866719628582 5677839566679 7300079442873 11355679133358 14600158885746 17033518700037 34067037400074 51100556100111 102201112200222