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230231001132 = 223311619313081
BaseRepresentation
bin1101011001101011010…
…1100100100000101100
3211000021012020122212000
43112122311210200230
512233003114014012
6253433333212300
722430224135356
oct3263265444054
9730235218760
10230231001132
1189705441860
1238753a91090
1318931504122
14b20109c0d6
155ec74ccddc
hex359ad6482c

230231001132 has 96 divisors (see below), whose sum is σ = 652212422400. Its totient is φ = 69654038400.

The previous prime is 230231001103. The next prime is 230231001149. The reversal of 230231001132 is 231100132032.

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

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, 578832 + ... + 891912.

It is an arithmetic number, because the mean of its divisors is an integer number (6793879400).

Almost surely, 2230231001132 is an apocalyptic number.

230231001132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230231001132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326106211200).

230231001132 is an abundant number, since it is smaller than the sum of its proper divisors (421981421268).

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

230231001132 is a wasteful number, since it uses less digits than its factorization.

230231001132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313724 (or 313716 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 230231001132 its reverse (231100132032), we get a palindrome (461331133164).

The spelling of 230231001132 in words is "two hundred thirty billion, two hundred thirty-one million, one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 619 1188 1238 1857 2476 3714 5571 6809 7428 11142 13618 16713 20427 22284 27236 33426 40854 61281 66852 81708 122562 183843 245124 313081 367686 626162 735372 939243 1252324 1878486 2817729 3443891 3756972 5635458 6887782 8453187 10331673 11270916 13775564 16906374 20663346 30995019 33812748 41326692 61990038 92985057 123980076 185970114 193797139 371940228 387594278 581391417 775188556 1162782834 1744174251 2131768529 2325565668 3488348502 4263537058 5232522753 6395305587 6976697004 8527074116 10465045506 12790611174 19185916761 20930091012 25581222348 38371833522 57557750283 76743667044 115115500566 230231001132