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1024031334131 = 135311593128203
BaseRepresentation
bin11101110011011010000…
…01100001111011110011
310121220012111121200112022
432321231001201323303
5113234204010143011
62102233345222055
7133661310502451
oct16715501417363
93556174550468
101024031334131
1136531aa9aa13
1214656a03192b
1375747c16190
14377c5cbb9d1
151b9863968db
hexee6d061ef3

1024031334131 has 16 divisors (see below), whose sum is σ = 1123716265056. Its totient is φ = 927337372416.

The previous prime is 1024031334119. The next prime is 1024031334143. The reversal of 1024031334131 is 1314331304201.

It is an interprime number because it is at equal distance from previous prime (1024031334119) and next prime (1024031334143).

It is not a de Polignac number, because 1024031334131 - 222 = 1024027139827 is a prime.

It is a super-2 number, since 2×10240313341312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1024031334131.

It is not an unprimeable number, because it can be changed into a prime (1024031334731) 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 15 ways as a sum of consecutive naturals, for example, 7923476 + ... + 8051678.

It is an arithmetic number, because the mean of its divisors is an integer number (70232266566).

Almost surely, 21024031334131 is an apocalyptic number.

1024031334131 is a deficient number, since it is larger than the sum of its proper divisors (99684930925).

1024031334131 is a wasteful number, since it uses less digits than its factorization.

1024031334131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139862.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 1024031334131 its reverse (1314331304201), we get a palindrome (2338362638332).

The spelling of 1024031334131 in words is "one trillion, twenty-four billion, thirty-one million, three hundred thirty-four thousand, one hundred thirty-one".

Divisors: 1 13 53 689 11593 128203 150709 614429 1666639 6794759 7987577 88331867 1486257379 19321345927 78771641087 1024031334131