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231403401302232 = 233195231031941119
BaseRepresentation
bin110100100111010111001101…
…100010001101000011011000
31010100022221121220110200001010
4310213113031202031003120
5220312303131213132412
62140053131025053520
766512226001164105
oct6447271542150330
91110287556420033
10231403401302232
11678066a43a7375
1221b53642a872a0
139c17329b95763
14411ddad205aac
151bb45008db33c
hexd275cd88d0d8

231403401302232 has 128 divisors (see below), whose sum is σ = 610713096192000. Its totient is φ = 72864216558720.

The previous prime is 231403401302173. The next prime is 231403401302233. The reversal of 231403401302232 is 232203104304132.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 231403401302232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231403401302233) 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 31 ways as a sum of consecutive naturals, for example, 245410569 + ... + 246351687.

It is an arithmetic number, because the mean of its divisors is an integer number (4771196064000).

Almost surely, 2231403401302232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231403401302232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305356548096000).

231403401302232 is an abundant number, since it is smaller than the sum of its proper divisors (379309694889768).

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

231403401302232 is a wasteful number, since it uses less digits than its factorization.

231403401302232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942701 (or 942697 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 231403401302232 its reverse (232203104304132), we get a palindrome (463606505606364).

The spelling of 231403401302232 in words is "two hundred thirty-one trillion, four hundred three billion, four hundred one million, three hundred two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 523 1031 1046 1569 2062 2092 3093 3138 4124 4184 6186 6276 8248 9937 12372 12552 19589 19874 24744 29811 39178 39748 58767 59622 78356 79496 117534 119244 156712 235068 238488 470136 539213 941119 1078426 1617639 1882238 2156852 2823357 3235278 3764476 4313704 5646714 6470556 7528952 10245047 11293428 12941112 17881261 20490094 22586856 30735141 35762522 40980188 53643783 61470282 71525044 81960376 107287566 122940564 143050088 214575132 245881128 429150264 492205237 970293689 984410474 1476615711 1940587378 1968820948 2910881067 2953231422 3881174756 3937641896 5821762134 5906462844 7762349512 9351899503 11643524268 11812925688 18435580091 18703799006 23287048536 28055698509 36871160182 37407598012 55306740273 56111397018 73742320364 74815196024 110613480546 112222794036 147484640728 221226961092 224445588072 442453922184 507463599347 1014927198694 1522390798041 2029854397388 3044781596082 4059708794776 6089563192164 9641808387593 12179126384328 19283616775186 28925425162779 38567233550372 57850850325558 77134467100744 115701700651116 231403401302232