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131011141210112 = 212127686336697
BaseRepresentation
bin11101110010011101101000…
…100010001001000000000000
3122011212112122200120211100102
4131302131220202021000000
5114132441304122210422
61142345404251141532
736411146132163602
oct3562355042110000
9564775580524312
10131011141210112
113882057083a189
121283aa061448a8
1358143b3aba437
14244cd8a153172
151022d78e94192
hex772768889000

131011141210112 has 104 divisors (see below), whose sum is σ = 264098884448256. Its totient is φ = 64978538397696.

The previous prime is 131011141210111. The next prime is 131011141210121. The reversal of 131011141210112 is 211012141110131.

It is not an unprimeable number, because it can be changed into a prime (131011141210111) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3570059348 + ... + 3570096044.

It is an arithmetic number, because the mean of its divisors is an integer number (2539412350464).

Almost surely, 2131011141210112 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 131011141210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132049442224128).

131011141210112 is an abundant number, since it is smaller than the sum of its proper divisors (133087743238144).

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

131011141210112 is an equidigital number, since it uses as much as digits as its factorization.

131011141210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43711 (or 43689 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 20.

Adding to 131011141210112 its reverse (211012141110131), we get a palindrome (342023282320243).

The spelling of 131011141210112 in words is "one hundred thirty-one trillion, eleven billion, one hundred forty-one million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 127 128 254 256 508 512 1016 1024 2032 2048 4064 4096 6863 8128 13726 16256 27452 32512 36697 54904 65024 73394 109808 130048 146788 219616 260096 293576 439232 520192 587152 871601 878464 1174304 1743202 1756928 2348608 3486404 3513856 4660519 4697216 6972808 7027712 9321038 9394432 13945616 14055424 18642076 18788864 27891232 28110848 37284152 37577728 55782464 74568304 75155456 111564928 149136608 150310912 223129856 251851511 298273216 446259712 503703022 596546432 892519424 1007406044 1193092864 1785038848 2014812088 2386185728 3570077696 4029624176 4772371456 8059248352 9544742912 16118496704 19089485824 31985141897 32236993408 63970283794 64473986816 127940567588 128947973632 255881135176 257895947264 511762270352 515791894528 1023524540704 1031583789056 2047049081408 4094098162816 8188196325632 16376392651264 32752785302528 65505570605056 131011141210112