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100212001002222 = 231713917940579733
BaseRepresentation
bin10110110010010001101100…
…101110001101001011101110
3111010211011200122121021220220
4112302101230232031023232
5101113333134224032342
6553044431355552210
730052035543006024
oct2662215456151356
9433734618537826
10100212001002222
1129a26742053a2a
12b2a591045b666
1343bbc4988ab65
141aa6402ad2714
15b8bb266115ec
hex5b246cb8d2ee

100212001002222 has 128 divisors (see below), whose sum is σ = 215009513510400. Its totient is φ = 31027666415616.

The previous prime is 100212001002193. The next prime is 100212001002227. The reversal of 100212001002222 is 222200100212001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212001002227) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10296101268 + ... + 10296111000.

It is an arithmetic number, because the mean of its divisors is an integer number (1679761824300).

Almost surely, 2100212001002222 is an apocalyptic number.

100212001002222 is an abundant number, since it is smaller than the sum of its proper divisors (114797512508178).

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

100212001002222 is a wasteful number, since it uses less digits than its factorization.

100212001002222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14130.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100212001002222 its reverse (222200100212001), we get a palindrome (322412101214223).

The spelling of 100212001002222 in words is "one hundred trillion, two hundred twelve billion, one million, two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 17 34 51 102 139 179 278 358 417 537 834 1074 2363 3043 4057 4726 6086 7089 8114 9129 9733 12171 14178 18258 19466 24342 24881 29199 49762 58398 68969 74643 137938 149286 165461 206907 330922 413814 422977 496383 563923 726203 845954 992766 1127846 1268931 1352887 1452406 1691769 1742207 2178609 2537862 2705774 3383538 3484414 4058661 4357218 5226621 8117322 9586691 10453242 12345451 19173382 22999079 24690902 28760073 29617519 37036353 39486781 45998158 57520146 59235038 68997237 74072706 78973562 88852557 100942217 118460343 137994474 177705114 201884434 236920686 242166773 302826651 484333546 605653302 671275277 726500319 1342550554 1453000638 1716017689 2013825831 3432035378 4027651662 4116835141 5148053067 5488662559 7068133799 8233670282 10296106134 10977325118 12350505423 14136267598 16465987677 21204401397 24701010846 32931975354 42408802794 93307263503 120158274583 186614527006 240316549166 279921790509 360474823749 559843581018 720949647498 982470598061 1964941196122 2947411794183 5894823588366 16702000167037 33404000334074 50106000501111 100212001002222