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1355261611431 = 371317328695539
BaseRepresentation
bin10011101110001011111…
…000110000110110100111
311210120011111211011211110
4103232023320300312213
5134201033433031211
62514333143440103
7166625434424220
oct23561370606647
94716144734743
101355261611431
11482843936842
1219a7aa456033
139aa53c725c0
14498489da247
15253c069aea6
hex13b8be30da7

1355261611431 has 32 divisors (see below), whose sum is σ = 2236874734080. Its totient is φ = 710731085184.

The previous prime is 1355261611423. The next prime is 1355261611597. The reversal of 1355261611431 is 1341161625531.

It is not a de Polignac number, because 1355261611431 - 23 = 1355261611423 is a prime.

It is a super-2 number, since 2×13552616114312 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1355261611431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1355261611931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14300541 + ... + 14394998.

It is an arithmetic number, because the mean of its divisors is an integer number (69902335440).

Almost surely, 21355261611431 is an apocalyptic number.

1355261611431 is a deficient number, since it is larger than the sum of its proper divisors (881613122649).

1355261611431 is a wasteful number, since it uses less digits than its factorization.

1355261611431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28695735.

The product of its digits is 64800, while the sum is 39.

The spelling of 1355261611431 in words is "one trillion, three hundred fifty-five billion, two hundred sixty-one million, six hundred eleven thousand, four hundred thirty-one".

Divisors: 1 3 7 13 21 39 91 173 273 519 1211 2249 3633 6747 15743 47229 28695539 86086617 200868773 373042007 602606319 1119126021 2611294049 4964328247 7833882147 14892984741 34750297729 64536267211 104250893187 193608801633 451753870477 1355261611431