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102222010221111 = 321131371723522469
BaseRepresentation
bin10111001111100001101010…
…100110111000001000110111
3111101221022212122120010221200
4113033201222212320020313
5101344301134104033421
61001224050533143543
730350203464323214
oct2717415246701067
9441838778503850
10102222010221111
112a631124936040
12b56b38848abb3
1345066569b9851
141b35800a24b0b
15bc40681bd726
hex5cf86a9b8237

102222010221111 has 96 divisors (see below), whose sum is σ = 170866448762880. Its totient is φ = 58299905260800.

The previous prime is 102222010221059. The next prime is 102222010221113. The reversal of 102222010221111 is 111122010222201.

102222010221111 is a `hidden beast` number, since 10 + 222 + 201 + 0 + 221 + 1 + 11 = 666.

It is not a de Polignac number, because 102222010221111 - 222 = 102222006026807 is a prime.

It is a super-4 number, since 4×1022220102211114 (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102222010221113) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 195390585 + ... + 195913053.

It is an arithmetic number, because the mean of its divisors is an integer number (1779858841280).

Almost surely, 2102222010221111 is an apocalyptic number.

102222010221111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102222010221111 is a deficient number, since it is larger than the sum of its proper divisors (68644438541769).

102222010221111 is a wasteful number, since it uses less digits than its factorization.

102222010221111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524277 (or 524274 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102222010221111 its reverse (111122010222201), we get a palindrome (213344020443312).

The spelling of 102222010221111 in words is "one hundred two trillion, two hundred twenty-two billion, ten million, two hundred twenty-one thousand, one hundred eleven".

Divisors: 1 3 9 11 31 33 37 93 99 111 279 333 341 407 1023 1147 1221 1723 3069 3441 3663 5169 10323 12617 15507 18953 37851 53413 56859 63751 113553 160239 170577 191253 480717 522469 573759 587543 701261 1567407 1762629 1976281 2103783 4702221 5287887 5747159 5928843 6311349 16196539 17241477 17786529 19331353 21739091 48589617 51724431 57994059 65217273 145768851 173982177 178161929 195651819 212644883 534485787 599271943 637934649 900214087 1603457361 1797815829 1913803947 2700642261 5393447487 6591991373 8101926783 9902354957 19775974119 27906636697 29707064871 33307921219 59327922357 83719910091 89121194613 99923763657 251159730273 299771290971 306973003667 366387133409 920919011001 1032545557789 1099161400227 2762757033003 3097636673367 3297484200681 9292910020101 11358001135679 34074003407037 102222010221111