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1330431133251 = 311123732591831
BaseRepresentation
bin10011010111000011111…
…000000000011001000011
311201012002000220012020110
4103113003320000121003
5133244210332231001
62455105220242403
7165056216020443
oct23270370003103
94635060805213
101330431133251
11473261765aa0
12195a1a840403
13985c78b186c
1448570d80123
152491a8123d6
hex135c3e00643

1330431133251 has 16 divisors (see below), whose sum is σ = 1936737024768. Its totient is φ = 805670037600.

The previous prime is 1330431133247. The next prime is 1330431133271. The reversal of 1330431133251 is 1523311340331.

It is a happy number.

It is not a de Polignac number, because 1330431133251 - 22 = 1330431133247 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1330431133271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16255095 + ... + 16336736.

It is an arithmetic number, because the mean of its divisors is an integer number (121046064048).

Almost surely, 21330431133251 is an apocalyptic number.

1330431133251 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1330431133251 is a deficient number, since it is larger than the sum of its proper divisors (606305891517).

1330431133251 is a wasteful number, since it uses less digits than its factorization.

1330431133251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32593082.

The product of its (nonzero) digits is 9720, while the sum is 30.

Adding to 1330431133251 its reverse (1523311340331), we get a palindrome (2853742473582).

The spelling of 1330431133251 in words is "one trillion, three hundred thirty billion, four hundred thirty-one million, one hundred thirty-three thousand, two hundred fifty-one".

Divisors: 1 3 11 33 1237 3711 13607 40821 32591831 97775493 358510141 1075530423 40316094947 120948284841 443477044417 1330431133251