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13354455445331 = 7111313341114331
BaseRepresentation
bin1100001001010101001110…
…0100101010111101010011
31202021200011221221210122012
43002111103210222331103
53222244411043222311
644222541354533135
72545553566232240
oct302252344527523
952250157853565
1013354455445331
114289657a49070
1215b82241371ab
1375b420630810
143425054c65c7
151825a792778b
hexc255392af53

13354455445331 has 16 divisors (see below), whose sum is σ = 17930457662208. Its totient is φ = 9605602317600.

The previous prime is 13354455445319. The next prime is 13354455445333.

13354455445331 is nontrivially palindromic in base 10.

13354455445331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13354455445331 - 26 = 13354455445267 is a prime.

It is a super-2 number, since 2×133544554453312 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13354455445331.

It is not an unprimeable number, because it can be changed into a prime (13354455445333) 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, 6670556165 + ... + 6670558166.

It is an arithmetic number, because the mean of its divisors is an integer number (1120653603888).

Almost surely, 213354455445331 is an apocalyptic number.

13354455445331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13354455445331 is a deficient number, since it is larger than the sum of its proper divisors (4576002216877).

13354455445331 is a wasteful number, since it uses less digits than its factorization.

13354455445331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13341114362.

The product of its digits is 12960000, while the sum is 50.

The spelling of 13354455445331 in words is "thirteen trillion, three hundred fifty-four billion, four hundred fifty-five million, four hundred forty-five thousand, three hundred thirty-one".

Divisors: 1 7 11 13 77 91 143 1001 13341114331 93387800317 146752257641 173434486303 1027265803487 1214041404121 1907779349333 13354455445331