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2131311234112 = 2641937866849
BaseRepresentation
bin11111000000111100000…
…011001000110001000000
321112202021202002200122021
4133000330003020301000
5234404411133442422
64311035540251224
7306660610402264
oct37007403106100
97482252080567
102131311234112
1175197a6a0575
122a508b9a0b14
13125c9bca8378
14752281620a4
153a690eeedc7
hex1f03c0c8c40

2131311234112 has 56 divisors (see below), whose sum is σ = 4337103670200. Its totient is φ = 1038553251840.

The previous prime is 2131311234097. The next prime is 2131311234121. The reversal of 2131311234112 is 2114321131312.

It can be written as a sum of positive squares in 4 ways, for example, as 11095672896 + 2120215561216 = 105336^2 + 1456096^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2025264 + ... + 2892112.

It is an arithmetic number, because the mean of its divisors is an integer number (77448279825).

Almost surely, 22131311234112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131311234112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2168551835100).

2131311234112 is an abundant number, since it is smaller than the sum of its proper divisors (2205792436088).

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

2131311234112 is an equidigital number, since it uses as much as digits as its factorization.

2131311234112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867839 (or 867829 counting only the distinct ones).

The product of its digits is 864, while the sum is 25.

Adding to 2131311234112 its reverse (2114321131312), we get a palindrome (4245632365424).

The spelling of 2131311234112 in words is "two trillion, one hundred thirty-one billion, three hundred eleven million, two hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 656 937 1312 1874 2624 3748 7496 14992 29984 38417 59968 76834 153668 307336 614672 866849 1229344 1733698 2458688 3467396 6934792 13869584 27739168 35540809 55478336 71081618 142163236 284326472 568652944 812237513 1137305888 1624475026 2274611776 3248950052 6497900104 12995800208 25991600416 33301738033 51983200832 66603476066 133206952132 266413904264 532827808528 1065655617056 2131311234112