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103203133013232 = 24327113906053633
BaseRepresentation
bin10111011101110011011010…
…000101010011110011110000
3111112102010022210012001102100
4113131303122011103303300
5102011340004022410412
61003254510443420400
730511115562416610
oct2735633205236360
9445363283161370
10103203133013232
112a97a2260a428a
12b6a9560524700
1345780240ab6a5
141b6b0b5d38a40
15bde83c552edc
hex5ddcda153cf0

103203133013232 has 120 divisors (see below), whose sum is σ = 333007328425824. Its totient is φ = 29225665953792.

The previous prime is 103203133013159. The next prime is 103203133013293. The reversal of 103203133013232 is 232310331302301.

103203133013232 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 0 + 3 + 1 + 330 + 1 + 323 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 103203133013196 and 103203133013205.

It is a congruent number.

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, 452912913 + ... + 453140720.

Almost surely, 2103203133013232 is an apocalyptic number.

103203133013232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103203133013232 is an abundant number, since it is smaller than the sum of its proper divisors (229804195412592).

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

103203133013232 is a wasteful number, since it uses less digits than its factorization.

103203133013232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906053767 (or 906053758 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 103203133013232 its reverse (232310331302301), we get a palindrome (335513464315533).

The spelling of 103203133013232 in words is "one hundred three trillion, two hundred three billion, one hundred thirty-three million, thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 113 126 144 168 226 252 336 339 452 504 678 791 904 1008 1017 1356 1582 1808 2034 2373 2712 3164 4068 4746 5424 6328 7119 8136 9492 12656 14238 16272 18984 28476 37968 56952 113904 906053633 1812107266 2718160899 3624214532 5436321798 6342375431 7248429064 8154482697 10872643596 12684750862 14496858128 16308965394 19027126293 21745287192 25369501724 32617930788 38054252586 43490574384 50739003448 57081378879 65235861576 76108505172 101478006896 102384060529 114162757758 130471723152 152217010344 204768121058 228325515516 304434020688 307152181587 409536242116 456651031032 614304363174 716688423703 819072484232 913302062064 921456544761 1228608726348 1433376847406 1638144968464 1842913089522 2150065271109 2457217452696 2866753694812 3685826179044 4300130542218 4914434905392 5733507389624 6450195813327 7371652358088 8600261084436 11467014779248 12900391626654 14743304716176 17200522168872 25800783253308 34401044337744 51601566506616 103203133013232