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221201211220100 = 225279127133220243
BaseRepresentation
bin110010010010111001101011…
…100111100110000010000100
31002000012121222201221000211022
4302102321223213212002010
5212443130040033020400
62102242233352530312
764410155136261416
oct6222715347460204
91060177881830738
10221201211220100
11645329a8037021
122098633a0b0998
139657252a7caa7
143c8a2a51ba9b6
151a88e40115b85
hexc92e6b9e6084

221201211220100 has 72 divisors (see below), whose sum is σ = 486088692082560. Its totient is φ = 87359394545280.

The previous prime is 221201211220037. The next prime is 221201211220111. The reversal of 221201211220100 is 1022112102122.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1004240579 + ... + 1004460821.

It is an arithmetic number, because the mean of its divisors is an integer number (6751231834480).

Almost surely, 2221201211220100 is an apocalyptic number.

221201211220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221201211220100 is an abundant number, since it is smaller than the sum of its proper divisors (264887480862460).

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

221201211220100 is a wasteful number, since it uses less digits than its factorization.

221201211220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347469 (or 347462 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 221201211220100 its reverse (1022112102122), we get a palindrome (222223323322222).

The spelling of 221201211220100 in words is "two hundred twenty-one trillion, two hundred one billion, two hundred eleven million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 79 100 158 316 395 790 1580 1975 3950 7900 127133 220243 254266 440486 508532 635665 880972 1101215 1271330 2202430 2542660 3178325 4404860 5506075 6356650 10043507 11012150 12713300 17399197 20087014 22024300 34798394 40174028 50217535 69596788 86995985 100435070 173991970 200870140 251087675 347983940 434979925 502175350 869959850 1004350700 1739919700 28000153319 56000306638 112000613276 140000766595 280001533190 560003066380 700003832975 1400007665950 2212012112201 2800015331900 4424024224402 8848048448804 11060060561005 22120121122010 44240242244020 55300302805025 110600605610050 221201211220100