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312334001044131 = 31129417960190663
BaseRepresentation
bin100011100000100001110110…
…1001011101111101010100011
31111221212211122112220201111110
41013001003231023233222203
5311414240013231403011
63024140131555514403
7122534246465516463
oct10701035513575243
91457784575821443
10312334001044131
11905791190712a0
122b044508bb8a03
1310537c7bbb4111
14571b091107ba3
1526197cde46ba6
hex11c10ed2efaa3

312334001044131 has 32 divisors (see below), whose sum is σ = 481432331358720. Its totient is φ = 178308270828800.

The previous prime is 312334001044099. The next prime is 312334001044187. The reversal of 312334001044131 is 131440100433213.

It is a cyclic number.

It is not a de Polignac number, because 312334001044131 - 25 = 312334001044099 is a prime.

It is a super-2 number, since 2×3123340010441312 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (312334001048131) 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, 3980056095 + ... + 3980134568.

It is an arithmetic number, because the mean of its divisors is an integer number (15044760354960).

Almost surely, 2312334001044131 is an apocalyptic number.

312334001044131 is a deficient number, since it is larger than the sum of its proper divisors (169098330314589).

312334001044131 is a wasteful number, since it uses less digits than its factorization.

312334001044131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7960190747.

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 312334001044131 its reverse (131440100433213), we get a palindrome (443774101477344).

The spelling of 312334001044131 in words is "three hundred twelve trillion, three hundred thirty-four billion, one million, forty-four thousand, one hundred thirty-one".

Divisors: 1 3 11 29 33 41 87 123 319 451 957 1189 1353 3567 13079 39237 7960190663 23880571989 87562097293 230845529227 262686291879 326367817183 692536587681 979103451549 2539300821497 3590045989013 7617902464491 9464666698307 10770137967039 28394000094921 104111333681377 312334001044131