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1310306030131 = 723101167482513
BaseRepresentation
bin10011000100010100010…
…100110101001000110011
311122021010110222000202211
4103010110110311020303
5132432001320431011
62441540221352551
7163444414326430
oct23042424651063
94567113860684
101310306030131
1146577465a16a
12191b42a08757
139673b314317
14475c2210b87
152413dad3b21
hex13114535233

1310306030131 has 32 divisors (see below), whose sum is σ = 1587525101568. Its totient is φ = 1057280294400.

The previous prime is 1310306030119. The next prime is 1310306030161.

1310306030131 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1310306030131 - 27 = 1310306030003 is a prime.

It is a super-2 number, since 2×13103060301312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1310306030161) 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 31 ways as a sum of consecutive naturals, for example, 2474331 + ... + 2956843.

It is an arithmetic number, because the mean of its divisors is an integer number (49610159424).

Almost surely, 21310306030131 is an apocalyptic number.

1310306030131 is a deficient number, since it is larger than the sum of its proper divisors (277219071437).

1310306030131 is a wasteful number, since it uses less digits than its factorization.

1310306030131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482811.

The product of its (nonzero) digits is 486, while the sum is 22.

The spelling of 1310306030131 in words is "one trillion, three hundred ten billion, three hundred six million, thirty thousand, one hundred thirty-one".

Divisors: 1 7 23 101 161 167 707 1169 2323 3841 16261 16867 26887 118069 387941 482513 2715587 3377591 11097799 48733813 77684593 80579671 341136691 564057697 1120877699 1853332433 7846143893 8138546771 12973327031 56969827397 187186575733 1310306030131