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1311002302131 = 32186377816007
BaseRepresentation
bin10011000100111101110…
…100111001011010110011
311122022221000010022101200
4103010331310321122303
5132434413042132011
62442133253102243
7163500600463104
oct23047564713263
94568830108350
101311002302131
11465aa1692675
121920b8027983
139681c6498a2
144764a8983ab
152417ecbb856
hex1313dd396b3

1311002302131 has 12 divisors (see below), whose sum is σ = 1893771842352. Its totient is φ = 873954526896.

The previous prime is 1311002302111. The next prime is 1311002302151. The reversal of 1311002302131 is 1312032001131.

1311002302131 is a `hidden beast` number, since 131 + 100 + 2 + 302 + 131 = 666.

It is an interprime number because it is at equal distance from previous prime (1311002302111) and next prime (1311002302151).

It is not a de Polignac number, because 1311002302131 - 27 = 1311002302003 is a prime.

It is a super-2 number, since 2×13110023021312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1311002302111) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3740271 + ... + 4075736.

It is an arithmetic number, because the mean of its divisors is an integer number (157814320196).

Almost surely, 21311002302131 is an apocalyptic number.

1311002302131 is a deficient number, since it is larger than the sum of its proper divisors (582769540221).

1311002302131 is a wasteful number, since it uses less digits than its factorization.

1311002302131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7834650 (or 7834647 counting only the distinct ones).

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

Adding to 1311002302131 its reverse (1312032001131), we get a palindrome (2623034303262).

The spelling of 1311002302131 in words is "one trillion, three hundred eleven billion, two million, three hundred two thousand, one hundred thirty-one".

Divisors: 1 3 9 18637 55911 167733 7816007 23448021 70344063 145666922459 437000767377 1311002302131