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131102020100 = 22521311020201
BaseRepresentation
bin111101000011001001…
…0100001001000000100
3110112101201120200000002
41322012102201020010
54121444104120400
6140121043140432
712320554532642
oct1720622411004
9415351520002
10131102020100
1150666744147
12214a9974718
13c4942b1b2c
1464b99b2192
153624997ed5
hex1e864a1204

131102020100 has 18 divisors (see below), whose sum is σ = 284491383834. Its totient is φ = 52440808000.

The previous prime is 131102020073. The next prime is 131102020109. The reversal of 131102020100 is 1020201131.

It can be written as a sum of positive squares in 3 ways, for example, as 4022603776 + 127079416324 = 63424^2 + 356482^2 .

It is not an unprimeable number, because it can be changed into a prime (131102020109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 655510001 + ... + 655510200.

Almost surely, 2131102020100 is an apocalyptic number.

131102020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131102020100 is an abundant number, since it is smaller than the sum of its proper divisors (153389363734).

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

131102020100 is a wasteful number, since it uses less digits than its factorization.

131102020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311020215 (or 1311020208 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 131102020100 its reverse (1020201131), we get a palindrome (132122221231).

The spelling of 131102020100 in words is "one hundred thirty-one billion, one hundred two million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1311020201 2622040402 5244080804 6555101005 13110202010 26220404020 32775505025 65551010050 131102020100