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13120442757 = 323762772
BaseRepresentation
bin11000011100000101…
…00001000110000101
31020212101102112212100
430032002201012011
5203332313132012
610005532342313
7643064631462
oct141602410605
936771375770
1013120442757
115623169924
122662014999
1313113222c6
148c675c669
1551bce38dc
hex30e0a1185

13120442757 has 18 divisors (see below), whose sum is σ = 19467061458. Its totient is φ = 8509201632.

The previous prime is 13120442737. The next prime is 13120442773. The reversal of 13120442757 is 75724402131.

It can be written as a sum of positive squares in 3 ways, for example, as 11847451716 + 1272991041 = 108846^2 + 35679^2 .

It is not a de Polignac number, because 13120442757 - 28 = 13120442501 is a prime.

It is a super-2 number, since 2×131204427572 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13120442707) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2087103 + ... + 2093379.

Almost surely, 213120442757 is an apocalyptic number.

It is an amenable number.

13120442757 is a deficient number, since it is larger than the sum of its proper divisors (6346618701).

13120442757 is an frugal number, since it uses more digits than its factorization.

13120442757 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12597 (or 6317 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

Adding to 13120442757 its reverse (75724402131), we get a palindrome (88844844888).

The spelling of 13120442757 in words is "thirteen billion, one hundred twenty million, four hundred forty-two thousand, seven hundred fifty-seven".

Divisors: 1 3 9 37 111 333 6277 18831 56493 232249 696747 2090241 39400729 118202187 354606561 1457826973 4373480919 13120442757