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130343404343031 = 32112196299521741
BaseRepresentation
bin11101101000101111110000…
…010100001000111011110111
3122002111201002221212101201100
4131220233300110020323313
5114041021243002434111
61141114533332501143
736312000032361225
oct3550576024107367
9562451087771640
10130343404343031
1138593366784900
121275151247a7b3
13579643a84cbb9
142428923a89b15
1510107e7553756
hex768bf0508ef7

130343404343031 has 36 divisors (see below), whose sum is σ = 217837461838360. Its totient is φ = 74838318271200.

The previous prime is 130343404342981. The next prime is 130343404343099.

130343404343031 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 4 + 340 + 4 + 3 + 4 + 303 + 1 = 666.

130343404343031 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 130343404343031 - 226 = 130343337234167 is a prime.

It is a super-2 number, since 2×1303434043430312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130343404347031) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3149740180 + ... + 3149781561.

Almost surely, 2130343404343031 is an apocalyptic number.

130343404343031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130343404343031 is a deficient number, since it is larger than the sum of its proper divisors (87494057495329).

130343404343031 is a wasteful number, since it uses less digits than its factorization.

130343404343031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6299521788 (or 6299521774 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

It can be divided in two parts, 13034340 and 4343031, that added together give a palindrome (17377371).

The spelling of 130343404343031 in words is "one hundred thirty trillion, three hundred forty-three billion, four hundred four million, three hundred forty-three thousand, thirty-one".

Divisors: 1 3 9 11 19 33 57 99 121 171 209 363 627 1089 1881 2299 6897 20691 6299521741 18898565223 56695695669 69294739151 119690913079 207884217453 359072739237 623652652359 762242130661 1077218217711 1316600043869 2286726391983 3949800131607 6860179175949 11849400394821 14482600482559 43447801447677 130343404343031