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313213000230 = 23351389234473
BaseRepresentation
bin1001000111011001111…
…00110001101000100110
31002221110100111222121000
410203230330301220212
520112430012001410
6355515453334130
731425465401034
oct4435474615046
91087410458530
10313213000230
111109186339a9
1250852497346
13236c7389c40
1411233cb5554
158232686dc0
hex48ecf31a26

313213000230 has 64 divisors (see below), whose sum is σ = 899483497920. Its totient is φ = 77098583808.

The previous prime is 313213000183. The next prime is 313213000241. The reversal of 313213000230 is 32000312313.

313213000230 is a `hidden beast` number, since 3 + 132 + 1 + 300 + 0 + 230 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 44613727 + ... + 44620746.

It is an arithmetic number, because the mean of its divisors is an integer number (14054429655).

Almost surely, 2313213000230 is an apocalyptic number.

313213000230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

313213000230 is an abundant number, since it is smaller than the sum of its proper divisors (586270497690).

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

313213000230 is a wasteful number, since it uses less digits than its factorization.

313213000230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89234502 (or 89234496 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 313213000230 its reverse (32000312313), we get a palindrome (345213312543).

The spelling of 313213000230 in words is "three hundred thirteen billion, two hundred thirteen million, two hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 702 1170 1755 3510 89234473 178468946 267703419 446172365 535406838 803110257 892344730 1160048149 1338517095 1606220514 2320096298 2409330771 2677034190 3480144447 4015551285 4818661542 5800240745 6960288894 8031102570 10440433341 11600481490 12046653855 17400722235 20880866682 24093307710 31321300023 34801444470 52202166705 62642600046 104404333410 156606500115 313213000230