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31313200000230 = 23251723387837527
BaseRepresentation
bin1110001111010101011000…
…01010011010110011100110
311002212111211202011200220200
413013222230022122303212
513101013413200001410
6150333030244411330
76411206200253361
oct707525412326346
9132774752150820
1031313200000230
119a82943080845
12361885b3a6b46
131461a8c1927c5
147a37d1a830d8
153947dc9aa3c0
hex1c7aac29ace6

31313200000230 has 96 divisors (see below), whose sum is σ = 86573370297024. Its totient is φ = 7825269516288.

The previous prime is 31313200000193. The next prime is 31313200000231. The reversal of 31313200000230 is 3200000231313.

31313200000230 is a `hidden beast` number, since 313 + 1 + 320 + 0 + 0 + 0 + 0 + 2 + 30 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31313200000231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43562274 + ... + 44275253.

It is an arithmetic number, because the mean of its divisors is an integer number (901805940594).

Almost surely, 231313200000230 is an apocalyptic number.

31313200000230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31313200000230 is an abundant number, since it is smaller than the sum of its proper divisors (55260170296794).

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

31313200000230 is a wasteful number, since it uses less digits than its factorization.

31313200000230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87837790 (or 87837787 counting only the distinct ones).

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

Adding to 31313200000230 its reverse (3200000231313), we get a palindrome (34513200231543).

The spelling of 31313200000230 in words is "thirty-one trillion, three hundred thirteen billion, two hundred million, two hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 233 255 306 466 510 699 765 1165 1398 1530 2097 2330 3495 3961 4194 6990 7922 10485 11883 19805 20970 23766 35649 39610 59415 71298 118830 178245 356490 87837527 175675054 263512581 439187635 527025162 790537743 878375270 1317562905 1493237959 1581075486 2635125810 2986475918 3952688715 4479713877 7466189795 7905377430 8959427754 13439141631 14932379590 20466143791 22398569385 26878283262 40932287582 44797138770 61398431373 67195708155 102330718955 122796862746 134391416310 184195294119 204661437910 306992156865 347924444447 368390588238 613984313730 695848888894 920976470595 1043773333341 1739622222235 1841952941190 2087546666682 3131320000023 3479244444470 5218866666705 6262640000046 10437733333410 15656600000115 31313200000230