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312031033101 = 32172039418517
BaseRepresentation
bin1001000101001100111…
…11111011011100001101
31002211101222102211111200
410202212133323130031
520103014421024401
6355202311540113
731354264006524
oct4424637733415
91084358384450
10312031033101
11110371424567
125058268a639
132356953a6c8
1411160d1b4bb
1581b3a0e686
hex48a67fb70d

312031033101 has 12 divisors (see below), whose sum is σ = 477223933212. Its totient is φ = 195784177536.

The previous prime is 312031033087. The next prime is 312031033103. The reversal of 312031033101 is 101330130213.

It is a happy number.

312031033101 is a `hidden beast` number, since 3 + 1 + 20 + 310 + 331 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 211944219876 + 100086813225 = 460374^2 + 316365^2 .

It is not a de Polignac number, because 312031033101 - 29 = 312031032589 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312031033103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1019709106 + ... + 1019709411.

It is an arithmetic number, because the mean of its divisors is an integer number (39768661101).

Almost surely, 2312031033101 is an apocalyptic number.

It is an amenable number.

312031033101 is a deficient number, since it is larger than the sum of its proper divisors (165192900111).

312031033101 is a wasteful number, since it uses less digits than its factorization.

312031033101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2039418540 (or 2039418537 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 312031033101 its reverse (101330130213), we get a palindrome (413361163314).

The spelling of 312031033101 in words is "three hundred twelve billion, thirty-one million, thirty-three thousand, one hundred one".

Divisors: 1 3 9 17 51 153 2039418517 6118255551 18354766653 34670114789 104010344367 312031033101