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231123321132 = 22311314470531
BaseRepresentation
bin1101011101000000000…
…1100000000100101100
3211002120101022012202220
43113100001200010230
512241320032234012
6254102050515340
722461310546404
oct3272001400454
9732511265686
10231123321132
118a0230a9000
1238962895b50
1318a4433bc22
14b2877b9804
15602a9de08c
hex35d006012c

231123321132 has 48 divisors (see below), whose sum is σ = 593176047744. Its totient is φ = 70037365200.

The previous prime is 231123321113. The next prime is 231123321167.

231123321132 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2311233211322 (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7219294 + ... + 7251237.

It is an arithmetic number, because the mean of its divisors is an integer number (12357834328).

Almost surely, 2231123321132 is an apocalyptic number.

231123321132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

231123321132 is an abundant number, since it is smaller than the sum of its proper divisors (362052726612).

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

231123321132 is a wasteful number, since it uses less digits than its factorization.

231123321132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14470571 (or 14470547 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

It can be divided in two parts, 231123 and 321132, that added together give a palindrome (552255).

The spelling of 231123321132 in words is "two hundred thirty-one billion, one hundred twenty-three million, three hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1331 1452 2662 3993 5324 7986 15972 14470531 28941062 43411593 57882124 86823186 159175841 173646372 318351682 477527523 636703364 955055046 1750934251 1910110092 3501868502 5252802753 7003737004 10505605506 19260276761 21011211012 38520553522 57780830283 77041107044 115561660566 231123321132