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221002102012200 = 233522511467477437
BaseRepresentation
bin110010010000000000001111…
…110010001111100100101000
31001222111121001110211021100220
4302100000033302033210220
5212431344301103342300
62102010544123330040
764356606053033055
oct6220001762174450
91058447043737326
10221002102012200
1164466513089143
1220953830980920
139641541182142
143c807b753a02c
151a83b89e9eda0
hexc9000fc8f928

221002102012200 has 96 divisors (see below), whose sum is σ = 687836024739360. Its totient is φ = 58699097440000.

The previous prime is 221002102012193. The next prime is 221002102012247. The reversal of 221002102012200 is 2210201200122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221002102012200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 733588119 + ... + 733889318.

It is an arithmetic number, because the mean of its divisors is an integer number (7164958591035).

Almost surely, 2221002102012200 is an apocalyptic number.

221002102012200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221002102012200 is an abundant number, since it is smaller than the sum of its proper divisors (466833922727160).

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

221002102012200 is a wasteful number, since it uses less digits than its factorization.

221002102012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467477707 (or 1467477698 counting only the distinct ones).

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

Adding to 221002102012200 its reverse (2210201200122), we get a palindrome (223212303212322).

The spelling of 221002102012200 in words is "two hundred twenty-one trillion, two billion, one hundred two million, twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 251 300 502 600 753 1004 1255 1506 2008 2510 3012 3765 5020 6024 6275 7530 10040 12550 15060 18825 25100 30120 37650 50200 75300 150600 1467477437 2934954874 4402432311 5869909748 7337387185 8804864622 11739819496 14674774370 17609729244 22012161555 29349548740 35219458488 36686935925 44024323110 58699097480 73373871850 88048646220 110060807775 146747743700 176097292440 220121615550 293495487400 368336836687 440243231100 736673673374 880486462200 1105010510061 1473347346748 1841684183435 2210021020122 2946694693496 3683368366870 4420042040244 5525052550305 7366736733740 8840084080488 9208420917175 11050105100610 14733473467480 18416841834350 22100210201220 27625262751525 36833683668700 44200420402440 55250525503050 73667367337400 110501051006100 221002102012200