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20131102303131 = 353993112749039
BaseRepresentation
bin1001001001111001000110…
…01100111010001110011011
32122021111220010120112220110
410210330203030322032123
510114311444142200011
6110452033431255403
74145265324143661
oct444744314721633
978244803515813
1020131102303131
116461609484896
12231166151a563
13b3047c664631
144d84c9ca4c31
1524d9c9887ba6
hex124f2333a39b

20131102303131 has 16 divisors (see below), whose sum is σ = 27350668500480. Its totient is φ = 13166186523360.

The previous prime is 20131102303111. The next prime is 20131102303133. The reversal of 20131102303131 is 13130320113102.

It is a happy number.

It is not a de Polignac number, because 20131102303131 - 25 = 20131102303099 is a prime.

It is a super-2 number, since 2×201311023031312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20131102303098 and 20131102303107.

It is not an unprimeable number, because it can be changed into a prime (20131102303133) 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 15 ways as a sum of consecutive naturals, for example, 4795491 + ... + 7953548.

It is an arithmetic number, because the mean of its divisors is an integer number (1709416781280).

Almost surely, 220131102303131 is an apocalyptic number.

20131102303131 is a deficient number, since it is larger than the sum of its proper divisors (7219566197349).

20131102303131 is a wasteful number, since it uses less digits than its factorization.

20131102303131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12759026.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 20131102303131 its reverse (13130320113102), we get a palindrome (33261422416233).

The spelling of 20131102303131 in words is "twenty trillion, one hundred thirty-one billion, one hundred two million, three hundred three thousand, one hundred thirty-one".

Divisors: 1 3 53 159 9931 29793 526343 1579029 12749039 38247117 675699067 2027097201 126610706309 379832118927 6710367434377 20131102303131