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1304340434031 = 33748724128983
BaseRepresentation
bin10010111110110000101…
…111111000110001101111
311121200201201122100101010
4102332300233320301233
5132332242122342111
62435112234120303
7163143525521115
oct22766057706157
94550651570333
101304340434031
11463193197558
12190958b80093
1395cca402bbb
14471b7bd9ab5
1523ddeee4aa6
hex12fb0bf8c6f

1304340434031 has 16 divisors (see below), whose sum is σ = 1789791517184. Its totient is φ = 844321338144.

The previous prime is 1304340434027. The next prime is 1304340434101.

1304340434031 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1304340434031 - 22 = 1304340434027 is a prime.

It is a super-2 number, since 2×13043404340312 (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 1304340434031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304340434021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12010435 + ... + 12118548.

It is an arithmetic number, because the mean of its divisors is an integer number (111861969824).

Almost surely, 21304340434031 is an apocalyptic number.

1304340434031 is a deficient number, since it is larger than the sum of its proper divisors (485451083153).

1304340434031 is a wasteful number, since it uses less digits than its factorization.

1304340434031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24129510.

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 1304340 and 434031, that added together give a palindrome (1738371).

The spelling of 1304340434031 in words is "one trillion, three hundred four billion, three hundred forty million, four hundred thirty-four thousand, thirty-one".

Divisors: 1 3 37 111 487 1461 18019 54057 24128983 72386949 892772371 2678317113 11750814721 35252444163 434780144677 1304340434031