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20131111113102 = 23211101672278349
BaseRepresentation
bin1001001001111001000111…
…01110100001000110001110
32122021111220202011010220200
410210330203232201012032
510114312003421104402
6110452034344154330
74145265462056013
oct444744356410616
978244822133820
1020131111113102
116461613451960
1223116644689a6
13b3048142a632
144d84cb11970a
1524d9ca52821c
hex124f23ba118e

20131111113102 has 24 divisors (see below), whose sum is σ = 47582626267800. Its totient is φ = 6100336700880.

The previous prime is 20131111113079. The next prime is 20131111113107.

20131111113102 is a `hidden beast` number, since 20 + 1 + 311 + 11 + 11 + 310 + 2 = 666.

20131111113102 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20131111113107) 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, 50836138977 + ... + 50836139372.

It is an arithmetic number, because the mean of its divisors is an integer number (1982609427825).

Almost surely, 220131111113102 is an apocalyptic number.

20131111113102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20131111113102 is an abundant number, since it is smaller than the sum of its proper divisors (27451515154698).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20131111113102 is a wasteful number, since it uses less digits than its factorization.

20131111113102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101672278368 (or 101672278365 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

It can be divided in two parts, 2013111 and 1113102, that added together give a palindrome (3126213).

The spelling of 20131111113102 in words is "twenty trillion, one hundred thirty-one billion, one hundred eleven million, one hundred thirteen thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 101672278349 203344556698 305016835047 610033670094 915050505141 1118395061839 1830101010282 2236790123678 3355185185517 6710370371034 10065555556551 20131111113102