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131522320100 = 22523735546573
BaseRepresentation
bin111101001111101010…
…1110101011011100100
3110120111000110010012202
41322133111311123210
54123324203220400
6140230455434032
712334150163243
oct1723725653344
9416430403182
10131522320100
1150861a14816
12215a6685918
13c5303b0262
14651973c95a
15364b81b4d5
hex1e9f5756e4

131522320100 has 36 divisors (see below), whose sum is σ = 293117049204. Its totient is φ = 51187063680.

The previous prime is 131522320009. The next prime is 131522320117. The reversal of 131522320100 is 1023225131.

It can be written as a sum of positive squares in 6 ways, for example, as 9026520064 + 122495800036 = 95008^2 + 349994^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 17769587 + ... + 17776986.

Almost surely, 2131522320100 is an apocalyptic number.

131522320100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131522320100 is an abundant number, since it is smaller than the sum of its proper divisors (161594729104).

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

131522320100 is a wasteful number, since it uses less digits than its factorization.

131522320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35546624 (or 35546617 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 131522320100 its reverse (1023225131), we get a palindrome (132545545231).

The spelling of 131522320100 in words is "one hundred thirty-one billion, five hundred twenty-two million, three hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1850 3700 35546573 71093146 142186292 177732865 355465730 710931460 888664325 1315223201 1777328650 2630446402 3554657300 5260892804 6576116005 13152232010 26304464020 32880580025 65761160050 131522320100