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100212102220002 = 234179131173227531
BaseRepresentation
bin10110110010010001110010…
…110000010100100011100010
3111010211011221201001200121120
4112302101302300110203202
5101113333341132020002
6553044445413233110
730052041212232423
oct2662216260244342
9433734851050546
10100212102220002
1129a267941a7393
12b2a593a332796
1343bbc64839a36
141aa641231d64a
15b8bb30456cbc
hex5b2472c148e2

100212102220002 has 128 divisors (see below), whose sum is σ = 210710504632320. Its totient is φ = 31746441792000.

The previous prime is 100212102219919. The next prime is 100212102220019. The reversal of 100212102220002 is 200022201212001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 440318977 + ... + 440546507.

It is an arithmetic number, because the mean of its divisors is an integer number (1646175817440).

Almost surely, 2100212102220002 is an apocalyptic number.

100212102220002 is an abundant number, since it is smaller than the sum of its proper divisors (110498402412318).

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

100212102220002 is a wasteful number, since it uses less digits than its factorization.

100212102220002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227960.

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

Adding to 100212102220002 its reverse (200022201212001), we get a palindrome (300234303432003).

The spelling of 100212102220002 in words is "one hundred trillion, two hundred twelve billion, one hundred two million, two hundred twenty thousand, two".

Divisors: 1 2 3 6 41 79 82 123 131 158 173 237 246 262 346 393 474 519 786 1038 3239 5371 6478 7093 9717 10349 10742 13667 14186 16113 19434 20698 21279 22663 27334 31047 32226 41001 42558 45326 62094 67989 82002 135978 227531 424309 455062 560347 682593 848618 929183 1120694 1272927 1365186 1681041 1790377 1858366 2545854 2787549 3362082 3580754 5371131 5575098 9328771 10742262 17974949 18657542 27986313 29806561 35949898 39362863 53924847 55972626 59613122 73405457 78725726 89419683 107849694 118088589 146810914 178839366 220216371 236177178 440432742 736972909 1222069001 1473945818 1613877383 2210918727 2354718319 2444138002 3109666177 3227754766 3666207003 4421837454 4709436638 4841632149 5156535053 6219332354 7064154957 7332414006 9328998531 9683264298 10313070106 14128309914 15469605159 18657997062 30939210318 96543451079 127496313257 193086902158 211417937173 254992626514 289630353237 382488939771 407366269187 422835874346 579260706474 634253811519 764977879542 814732538374 1222098807561 1268507623038 2444197615122 16702017036667 33404034073334 50106051110001 100212102220002