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103311113301 = 32111043546599
BaseRepresentation
bin110000000110111010…
…0100111110001010101
3100212122221002022210200
41200031310213301111
53143040121111201
6115243243411113
710315100655024
oct1401564476125
9325587068720
10103311113301
113a8a5480580
1218032823a99
1399857b3296
145000ad08bb
152a49c85386
hex180dd27c55

103311113301 has 12 divisors (see below), whose sum is σ = 162793269600. Its totient is φ = 62612795880.

The previous prime is 103311113221. The next prime is 103311113309.

103311113301 is a `hidden beast` number, since 1 + 0 + 331 + 1 + 1 + 1 + 330 + 1 = 666.

103311113301 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 103311113301 - 27 = 103311113173 is a prime.

It is a super-2 number, since 2×1033111133012 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103311113309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 521773201 + ... + 521773398.

It is an arithmetic number, because the mean of its divisors is an integer number (13566105800).

Almost surely, 2103311113301 is an apocalyptic number.

103311113301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103311113301 is a deficient number, since it is larger than the sum of its proper divisors (59482156299).

103311113301 is a wasteful number, since it uses less digits than its factorization.

103311113301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043546616 (or 1043546613 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

It can be divided in two parts, 103311 and 113301, that added together give a palindrome (216612).

The spelling of 103311113301 in words is "one hundred three billion, three hundred eleven million, one hundred thirteen thousand, three hundred one".

Divisors: 1 3 9 11 33 99 1043546599 3130639797 9391919391 11479012589 34437037767 103311113301