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1355252404311 = 331329313177877
BaseRepresentation
bin10011101110001011010…
…101101001000001010111
311210120010212111102001000
4103232023111221001113
5134201024103414221
62514332214234343
7166625263236261
oct23561325510127
94716125442030
101355252404311
11482839718353
1219a7a73559b3
139aa5209a8c0
14498476c0b31
15253be97ce26
hex13b8b569057

1355252404311 has 32 divisors (see below), whose sum is σ = 2169605833920. Its totient is φ = 831154995072.

The previous prime is 1355252404307. The next prime is 1355252404351. The reversal of 1355252404311 is 1134042525531.

1355252404311 is a `hidden beast` number, since 1 + 3 + 55 + 252 + 40 + 4 + 311 = 666.

It is not a de Polignac number, because 1355252404311 - 22 = 1355252404307 is a prime.

It is a super-2 number, since 2×13552524043112 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1355252404351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6486096 + ... + 6691781.

It is an arithmetic number, because the mean of its divisors is an integer number (67800182310).

Almost surely, 21355252404311 is an apocalyptic number.

1355252404311 is a deficient number, since it is larger than the sum of its proper divisors (814353429609).

1355252404311 is a wasteful number, since it uses less digits than its factorization.

1355252404311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13178192 (or 13178186 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 1355252404311 its reverse (1134042525531), we get a palindrome (2489294929842).

The spelling of 1355252404311 in words is "one trillion, three hundred fifty-five billion, two hundred fifty-two million, four hundred four thousand, three hundred eleven".

Divisors: 1 3 9 13 27 39 117 293 351 879 2637 3809 7911 11427 34281 102843 13177877 39533631 118600893 171312401 355802679 513937203 1541811609 3861117961 4625434827 11583353883 34750061649 50194533493 104250184947 150583600479 451750801437 1355252404311