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231362263132 = 227111357782783
BaseRepresentation
bin1101011101111001000…
…0111111100001011100
3211010012000220201120121
43113132100333201130
512242312214410012
6254141504124324
722500241534330
oct3273620774134
9733160821517
10231362263132
118a135a69730
1238a0a9066a4
1318a819ac320
14b2ab4177c0
15604198ba07
hex35de43f85c

231362263132 has 48 divisors (see below), whose sum is σ = 543620431872. Its totient is φ = 83207206080.

The previous prime is 231362263109. The next prime is 231362263193.

231362263132 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28887388 + ... + 28895395.

It is an arithmetic number, because the mean of its divisors is an integer number (11325425664).

Almost surely, 2231362263132 is an apocalyptic number.

231362263132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

231362263132 is an abundant number, since it is smaller than the sum of its proper divisors (312258168740).

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

231362263132 is a wasteful number, since it uses less digits than its factorization.

231362263132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57782818 (or 57782816 counting only the distinct ones).

The product of its digits is 46656, while the sum is 34.

It can be divided in two parts, 231362 and 263132, that added together give a palindrome (494494).

The spelling of 231362263132 in words is "two hundred thirty-one billion, three hundred sixty-two million, two hundred sixty-three thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 4004 57782783 115565566 231131132 404479481 635610613 751176179 808958962 1271221226 1502352358 1617917924 2542442452 3004704716 4449274291 5258233253 8262937969 8898548582 10516466506 16525875938 17797097164 21032933012 33051751876 57840565783 115681131566 231362263132