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102222021201222 = 23137146148782217
BaseRepresentation
bin10111001111100001101011…
…010000110000110101000110
3111101221022220102012222211110
4113033201223100300311012
5101344301144411414342
61001224052004345450
730350203656544206
oct2717415320606506
9441838812188743
10102222021201222
112a63113005560a
12b56b3900a5286
134506659062560
141b35802282406
15bc406913bc9c
hex5cf86b430d46

102222021201222 has 128 divisors (see below), whose sum is σ = 224218004871168. Its totient is φ = 30878751052800.

The previous prime is 102222021201197. The next prime is 102222021201277. The reversal of 102222021201222 is 222102120222201.

It is a congruent number.

It is an unprimeable number.

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, 1243278658 + ... + 1243360874.

It is an arithmetic number, because the mean of its divisors is an integer number (1751703163056).

Almost surely, 2102222021201222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102222021201222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112109002435584).

102222021201222 is an abundant number, since it is smaller than the sum of its proper divisors (121995983669946).

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

102222021201222 is a wasteful number, since it uses less digits than its factorization.

102222021201222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83254.

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 102222021201222 its reverse (222102120222201), we get a palindrome (324324141423423).

The spelling of 102222021201222 in words is "one hundred two trillion, two hundred twenty-two billion, twenty-one million, two hundred one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 71 78 142 213 426 461 487 922 923 974 1383 1461 1846 2766 2769 2922 5538 5993 6331 11986 12662 17979 18993 32731 34577 35958 37986 65462 69154 82217 98193 103731 164434 196386 207462 224507 246651 425503 449014 449501 493302 673521 851006 899002 1068821 1276509 1347042 1348503 2137642 2553018 2697006 2918591 3206463 5837182 5837407 6412926 8755773 11674814 15939997 17511546 17512221 31879994 35024442 37902037 40039679 47819991 75804074 75886291 80079358 95639982 113706111 120119037 151772582 207219961 227412222 227658873 240238074 414439922 455317746 492726481 520515827 621659883 985452962 1041031654 1243319766 1478179443 1561547481 2691044627 2842817209 2956358886 3123094962 5382089254 5685634418 8073133881 8528451627 16146267762 17056903254 18458292019 34983580151 36916584038 36956623717 55374876057 69967160302 73913247434 104950740453 110749752114 110869871151 209901480906 221739742302 239957796247 479915592494 719873388741 1310538733349 1439746777482 2621077466698 3931616200047 7863232400094 17037003533537 34074007067074 51111010600611 102222021201222