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31331001121232 = 242967523709313
BaseRepresentation
bin1110001111110110100010…
…01100010011100111010000
311002221012210100010100020112
413013323101030103213100
513101311342241334412
6150345132504300452
76412406262300341
oct707732114234720
9132835710110215
1031331001121232
119a8a44837649a
1236201a8a71728
13146366813c0b7
147a45ddd000c8
15394ed067b722
hex1c7ed13139d0

31331001121232 has 20 divisors (see below), whose sum is σ = 62797049662020. Its totient is φ = 15125310885888.

The previous prime is 31331001121183. The next prime is 31331001121289. The reversal of 31331001121232 is 23212110013313.

It can be written as a sum of positive squares in 2 ways, for example, as 12665456028736 + 18665545092496 = 3558856^2 + 4320364^2 .

It is a super-2 number, since 2×313310011212322 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31331001121198 and 31331001121207.

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 3 ways as a sum of consecutive naturals, for example, 33761854193 + ... + 33761855120.

It is an arithmetic number, because the mean of its divisors is an integer number (3139852483101).

Almost surely, 231331001121232 is an apocalyptic number.

It is an amenable number.

31331001121232 is an abundant number, since it is smaller than the sum of its proper divisors (31466048540788).

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

31331001121232 is a wasteful number, since it uses less digits than its factorization.

31331001121232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67523709350 (or 67523709344 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 31331001121232 its reverse (23212110013313), we get a palindrome (54543111134545).

The spelling of 31331001121232 in words is "thirty-one trillion, three hundred thirty-one billion, one million, one hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 29 58 116 232 464 67523709313 135047418626 270094837252 540189674504 1080379349008 1958187570077 3916375140154 7832750280308 15665500560616 31331001121232