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221232321320120 = 235113471448993459
BaseRepresentation
bin110010010011010110101001…
…111011001101010010111000
31002000022121021212001212010222
4302103112221323031102320
5212444132243224220440
62102304420402155212
764412336105620445
oct6223265173152270
91060277255055128
10221232321320120
1164545111963690
1220990380952b08
13965a170120ab6
143c8b9b6c329cc
151a89b6141d2b5
hexc935a9ecd4b8

221232321320120 has 64 divisors (see below), whose sum is σ = 544589702006400. Its totient is φ = 80216277834880.

The previous prime is 221232321320099. The next prime is 221232321320209. The reversal of 221232321320120 is 21023123232122.

It is a self number, because there is not a number n which added to its sum of digits gives 221232321320120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 724344050 + ... + 724649409.

It is an arithmetic number, because the mean of its divisors is an integer number (8509214093850).

Almost surely, 2221232321320120 is an apocalyptic number.

221232321320120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221232321320120 is an abundant number, since it is smaller than the sum of its proper divisors (323357380686280).

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

221232321320120 is a wasteful number, since it uses less digits than its factorization.

221232321320120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448993828 (or 1448993824 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 221232321320120 its reverse (21023123232122), we get a palindrome (242255444552242).

The spelling of 221232321320120 in words is "two hundred twenty-one trillion, two hundred thirty-two billion, three hundred twenty-one million, three hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 347 440 694 1388 1735 2776 3470 3817 6940 7634 13880 15268 19085 30536 38170 76340 152680 1448993459 2897986918 5795973836 7244967295 11591947672 14489934590 15938928049 28979869180 31877856098 57959738360 63755712196 79694640245 127511424392 159389280490 318778560980 502800730273 637557121960 1005601460546 2011202921092 2514003651365 4022405842184 5028007302730 5530808033003 10056014605460 11061616066006 20112029210920 22123232132012 27654040165015 44246464264024 55308080330030 110616160660060 221232321320120