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131222140100 = 22529771343113
BaseRepresentation
bin111101000110101110…
…0101111010011000100
3110112201002121101122222
41322031130233103010
54122220331440400
6140141013511512
712323543534012
oct1721534572304
9415632541588
10131222140100
1150718528077
1221522042598
13c4b314b55c
1464cb91d8b2
1536302c4185
hex1e8d72f4c4

131222140100 has 36 divisors (see below), whose sum is σ = 285043711764. Its totient is φ = 52435092480.

The previous prime is 131222140081. The next prime is 131222140117. The reversal of 131222140100 is 1041222131.

It can be written as a sum of positive squares in 6 ways, for example, as 2444511364 + 128777628736 = 49442^2 + 358856^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 573857 + ... + 769256.

Almost surely, 2131222140100 is an apocalyptic number.

131222140100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131222140100 is an abundant number, since it is smaller than the sum of its proper divisors (153821571664).

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

131222140100 is a wasteful number, since it uses less digits than its factorization.

131222140100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344104 (or 1344097 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 131222140100 its reverse (1041222131), we get a palindrome (132263362231).

The spelling of 131222140100 in words is "one hundred thirty-one billion, two hundred twenty-two million, one hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 977 1954 3908 4885 9770 19540 24425 48850 97700 1343113 2686226 5372452 6715565 13431130 26862260 33577825 67155650 134311300 1312221401 2624442802 5248885604 6561107005 13122214010 26244428020 32805535025 65611070050 131222140100