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12331310440 = 235308282761
BaseRepresentation
bin10110111110000000…
…01101110101101000
31011211101112110211111
423133000031311220
5200223303413230
65355342440104
7614403260251
oct133700156550
934741473744
1012331310440
115258781059
122481893034
1312169a5bc7
1484da21b28
154c28b692a
hex2df00dd68

12331310440 has 16 divisors (see below), whose sum is σ = 27745448580. Its totient is φ = 4932524160.

The previous prime is 12331310419. The next prime is 12331310543. The reversal of 12331310440 is 4401313321.

12331310440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 12016105924 + 315204516 = 109618^2 + 17754^2 .

It is a super-2 number, since 2×123313104402 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 154141341 + ... + 154141420.

Almost surely, 212331310440 is an apocalyptic number.

12331310440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12331310440 is an abundant number, since it is smaller than the sum of its proper divisors (15414138140).

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

12331310440 is a wasteful number, since it uses less digits than its factorization.

12331310440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308282772 (or 308282768 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 12331310440 its reverse (4401313321), we get a palindrome (16732623761).

The spelling of 12331310440 in words is "twelve billion, three hundred thirty-one million, three hundred ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 308282761 616565522 1233131044 1541413805 2466262088 3082827610 6165655220 12331310440