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312114120431091 = 311311732117614277
BaseRepresentation
bin100011011110111011011101…
…1010001110001010111110011
31111221002211002200202020212120
41012331312323101301113303
5311402134204312243331
63023451125243125323
7122512333602244506
oct10675667321612763
91457084080666776
10312114120431091
11904a3945204290
122b009983513843
1310520309b5b1b4
14571059293b13d
152613c1048a796
hex11bddbb4715f3

312114120431091 has 32 divisors (see below), whose sum is σ = 468655908120576. Its totient is φ = 183047556192000.

The previous prime is 312114120431053. The next prime is 312114120431111. The reversal of 312114120431091 is 190134021411213.

It is not a de Polignac number, because 312114120431091 - 213 = 312114120422899 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (312114120432091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8912245 + ... + 26526521.

It is an arithmetic number, because the mean of its divisors is an integer number (14645497128768).

Almost surely, 2312114120431091 is an apocalyptic number.

312114120431091 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

312114120431091 is a deficient number, since it is larger than the sum of its proper divisors (156541787689485).

312114120431091 is a wasteful number, since it uses less digits than its factorization.

312114120431091 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17631643.

The product of its (nonzero) digits is 5184, while the sum is 33.

The spelling of 312114120431091 in words is "three hundred twelve trillion, one hundred fourteen billion, one hundred twenty million, four hundred thirty-one thousand, ninety-one".

Divisors: 1 3 11 31 33 93 341 1023 17321 51963 190531 536951 571593 1610853 5906461 17614277 17719383 52842831 193757047 546042587 581271141 1638127761 6006468457 18019405371 305096891917 915290675751 3356065811087 9458003649427 10068197433261 28374010948281 104038040143697 312114120431091