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231321132024 = 23318163184391
BaseRepresentation
bin1101011101101111010…
…0000101101111111000
3211010002011112001022020
43113123310011233320
512242221202211044
6254133434354440
722466232115503
oct3273364055770
9733064461266
10231321132024
118a114826284
12389b8b8ba20
1318a7630a9a8
14b2a5b8c13a
15603d064a19
hex35dbd05bf8

231321132024 has 64 divisors (see below), whose sum is σ = 582426324480. Its totient is φ = 76558608000.

The previous prime is 231321132017. The next prime is 231321132059. The reversal of 231321132024 is 420231123132.

It is a super-2 number, since 2×2313211320242 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 231321131985 and 231321132003.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2698869 + ... + 2783259.

It is an arithmetic number, because the mean of its divisors is an integer number (9100411320).

Almost surely, 2231321132024 is an apocalyptic number.

231321132024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

231321132024 is an abundant number, since it is smaller than the sum of its proper divisors (351105192456).

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

231321132024 is a wasteful number, since it uses less digits than its factorization.

231321132024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85212 (or 85208 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 231321132024 its reverse (420231123132), we get a palindrome (651552255156).

The spelling of 231321132024 in words is "two hundred thirty-one billion, three hundred twenty-one million, one hundred thirty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 181 362 543 631 724 1086 1262 1448 1893 2172 2524 3786 4344 5048 7572 15144 84391 114211 168782 228422 253173 337564 342633 456844 506346 675128 685266 913688 1012692 1370532 2025384 2741064 15274771 30549542 45824313 53250721 61099084 91648626 106501442 122198168 159752163 183297252 213002884 319504326 366594504 426005768 639008652 1278017304 9638380501 19276761002 28915141503 38553522004 57830283006 77107044008 115660566012 231321132024