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23034104401224 = 2337809193187767
BaseRepresentation
bin1010011110011000010111…
…00111000100110101001000
310000120001001100011212111010
411033030023213010311020
511004342321211314344
6120553415501203520
74565105402634120
oct517141347046510
9100501040155433
1023034104401224
117380788489174
1227001b6b605a0
13cb11506222b7
14598bdc72bc80
1529e2836ec8b9
hex14f30b9c4d48

23034104401224 has 128 divisors (see below), whose sum is σ = 65927951308800. Its totient is φ = 6569558929920.

The previous prime is 23034104401199. The next prime is 23034104401241. The reversal of 23034104401224 is 42210440143032.

It is a junction number, because it is equal to n+sod(n) for n = 23034104401191 and 23034104401200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 262402189 + ... + 262489955.

It is an arithmetic number, because the mean of its divisors is an integer number (515062119600).

Almost surely, 223034104401224 is an apocalyptic number.

23034104401224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23034104401224 is an abundant number, since it is smaller than the sum of its proper divisors (42893846907576).

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

23034104401224 is a wasteful number, since it uses less digits than its factorization.

23034104401224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90523 (or 90519 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 23034104401224 its reverse (42210440143032), we get a palindrome (65244544544256).

The spelling of 23034104401224 in words is "twenty-three trillion, thirty-four billion, one hundred four million, four hundred one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 809 1618 1931 2427 3236 3862 4854 5663 5793 6472 7724 9708 11326 11586 13517 15448 16989 19416 22652 23172 27034 33978 40551 45304 46344 54068 67956 81102 87767 108136 135912 162204 175534 263301 324408 351068 526602 614369 702136 1053204 1228738 1562179 1843107 2106408 2457476 3124358 3686214 4686537 4914952 6248716 7372428 9373074 10935253 12497432 14744856 18746148 21870506 32805759 37492296 43741012 65611518 71003503 87482024 131223036 142007006 169478077 213010509 262446072 284014012 338956154 426021018 497024521 508434231 568028024 677912308 852042036 994049042 1016868462 1186346539 1355824616 1491073563 1704084072 1988098084 2033736924 2372693078 2982147126 3559039617 3976196168 4067473848 4745386156 5964294252 7118079234 9490772312 11928588504 14236158468 28472316936 137107764293 274215528586 411323292879 548431057172 822646585758 959754350051 1096862114344 1645293171516 1919508700102 2879263050153 3290586343032 3839017400204 5758526100306 7678034800408 11517052200612 23034104401224