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1031312131002 = 23257295118389
BaseRepresentation
bin11110000000111101111…
…11100100001110111010
310122120222220201111012200
433000132333210032322
5113344111401143002
62105440034051030
7134336606321466
oct17003677441672
93576886644180
101031312131002
113684168a240a
12147a60419a76
13763384553ca
1437cb6c4d4a6
151bc60679b1c
hexf01efe43ba

1031312131002 has 12 divisors (see below), whose sum is σ = 2234509617210. Its totient is φ = 343770710328.

The previous prime is 1031312130983. The next prime is 1031312131013. The reversal of 1031312131002 is 2001312131301.

1031312131002 is a `hidden beast` number, since 10 + 31 + 312 + 1 + 310 + 0 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 954683372241 + 76628758761 = 977079^2 + 276819^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 57295118389 = 1031312131002 / (1 + 0 + 3 + 1 + 3 + 1 + 2 + 1 + 3 + 1 + 0 + 0 + 2).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28647559177 + ... + 28647559212.

Almost surely, 21031312131002 is an apocalyptic number.

1031312131002 is an abundant number, since it is smaller than the sum of its proper divisors (1203197486208).

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

1031312131002 is a wasteful number, since it uses less digits than its factorization.

1031312131002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57295118397 (or 57295118394 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1031312131002 its reverse (2001312131301), we get a palindrome (3032624262303).

The spelling of 1031312131002 in words is "one trillion, thirty-one billion, three hundred twelve million, one hundred thirty-one thousand, two".

Divisors: 1 2 3 6 9 18 57295118389 114590236778 171885355167 343770710334 515656065501 1031312131002