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102111222123222 = 231310093229401809
BaseRepresentation
bin10111001101111010011111…
…000111110100101011010110
3111101112201220122012122111220
4113031322133013310223112
5101340442240330420342
61001101125311511210
730336202163120244
oct2715723707645326
9441481818178456
10102111222123222
112a599142944364
12b551a09828506
1344c907c146340
141b302d0cd3794
15bc1231d005ec
hex5cde9f1f4ad6

102111222123222 has 64 divisors (see below), whose sum is σ = 220218560184000. Its totient is φ = 31377900331008.

The previous prime is 102111222123187. The next prime is 102111222123227. The reversal of 102111222123222 is 222321222111201.

It is a super-2 number, since 2×1021112221232222 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102111222123192 and 102111222123201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102111222123227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253927854 + ... + 254329662.

It is an arithmetic number, because the mean of its divisors is an integer number (3440915002875).

Almost surely, 2102111222123222 is an apocalyptic number.

102111222123222 is an abundant number, since it is smaller than the sum of its proper divisors (118107338060778).

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

102111222123222 is a wasteful number, since it uses less digits than its factorization.

102111222123222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406065.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 102111222123222 its reverse (222321222111201), we get a palindrome (324432444234423).

The spelling of 102111222123222 in words is "one hundred two trillion, one hundred eleven billion, two hundred twenty-two million, one hundred twenty-three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 78 1009 2018 3027 3229 6054 6458 9687 13117 19374 26234 39351 41977 78702 83954 125931 251862 401809 803618 1205427 2410854 3258061 5223517 6516122 9774183 10447034 15670551 19548366 31341102 42354793 84709586 127064379 254128758 405425281 810850562 1216275843 1297441261 2432551686 2594882522 3892323783 5270528653 7784647566 10541057306 15811585959 16866736393 31623171918 33733472786 50600209179 101200418358 1309118232349 2618236464698 3927354697047 7854709394094 17018537020537 34037074041074 51055611061611 102111222123222