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230033100000078 = 232171943920125039
BaseRepresentation
bin110100010011011011000001…
…001101100100101101001110
31010011110221122020211001002100
4310103123001031210231032
5220122330242100000303
62133123425224335530
766311225442251004
oct6423330115445516
91104427566731070
10230033100000078
1167328542aaa371
1221971b579145a6
139b4804a0bb29b
1440b3939012a74
151b8da4ebda8a3
hexd136c1364b4e

230033100000078 has 96 divisors (see below), whose sum is σ = 568416444710400. Its totient is φ = 66778994757888.

The previous prime is 230033099999981. The next prime is 230033100000079. The reversal of 230033100000078 is 870000001330032.

It is a junction number, because it is equal to n+sod(n) for n = 230033099999997 and 230033100000060.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230033100000079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 459812518 + ... + 460312521.

It is an arithmetic number, because the mean of its divisors is an integer number (5921004632400).

Almost surely, 2230033100000078 is an apocalyptic number.

230033100000078 is an abundant number, since it is smaller than the sum of its proper divisors (338383344710322).

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

230033100000078 is a wasteful number, since it uses less digits than its factorization.

230033100000078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920125126 (or 920125123 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 230033100000078 in words is "two hundred thirty trillion, thirty-three billion, one hundred million, seventy-eight", and thus it is an aban number.

Divisors: 1 2 3 6 9 17 18 19 34 38 43 51 57 86 102 114 129 153 171 258 306 323 342 387 646 731 774 817 969 1462 1634 1938 2193 2451 2907 4386 4902 5814 6579 7353 13158 13889 14706 27778 41667 83334 125001 250002 920125039 1840250078 2760375117 5520750234 8281125351 15642125663 16562250702 17482375741 31284251326 34964751482 39565376677 46926376989 52447127223 79130753354 93852753978 104894254446 118696130031 140779130967 157341381669 237392260062 281558261934 297200387597 314682763338 356088390093 594400775194 672611403509 712176780186 751742156863 891601162791 1345222807018 1503484313726 1783202325582 2017834210527 2255226470589 2674803488373 4035668421054 4510452941178 5349606976746 6053502631581 6765679411767 12107005263162 12779616666671 13531358823534 25559233333342 38338850000013 76677700000026 115016550000039 230033100000078