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131301210100 = 22521313012101
BaseRepresentation
bin111101001001000101…
…0010111011111110100
3110112220121101120022111
41322102022113133310
54122401102210400
6140152520340404
712325523604544
oct1722212273764
9415817346274
10131301210100
1150759123585
1221544614704
13c4c6644538
1464d8223324
1536371e23ba
hex1e922977f4

131301210100 has 18 divisors (see below), whose sum is σ = 284923626134. Its totient is φ = 52520484000.

The previous prime is 131301210077. The next prime is 131301210107. The reversal of 131301210100 is 1012103131.

It can be written as a sum of positive squares in 3 ways, for example, as 37727623696 + 93573586404 = 194236^2 + 305898^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131301210107) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 656505951 + ... + 656506150.

Almost surely, 2131301210100 is an apocalyptic number.

131301210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131301210100 is an abundant number, since it is smaller than the sum of its proper divisors (153622416034).

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

131301210100 is a wasteful number, since it uses less digits than its factorization.

131301210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313012115 (or 1313012108 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 131301210100 its reverse (1012103131), we get a palindrome (132313313231).

The spelling of 131301210100 in words is "one hundred thirty-one billion, three hundred one million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1313012101 2626024202 5252048404 6565060505 13130121010 26260242020 32825302525 65650605050 131301210100