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131820523250 = 2531340560161
BaseRepresentation
bin111101011000100011…
…1011000111011110010
3110121020210120102000212
41322301013120323302
54124432023221000
6140320231144122
712344430650213
oct1726107307362
9417223512025
10131820523250
11509a52811a9
122166a515042
13c57a0cc220
1465471a540a
153667ac2c35
hex1eb11d8ef2

131820523250 has 32 divisors (see below), whose sum is σ = 265750181424. Its totient is φ = 48672192000.

The previous prime is 131820523243. The next prime is 131820523283. The reversal of 131820523250 is 52325028131.

It can be written as a sum of positive squares in 8 ways, for example, as 3701627281 + 128118895969 = 60841^2 + 357937^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20276831 + ... + 20283330.

Almost surely, 2131820523250 is an apocalyptic number.

131820523250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131820523250 is an abundant number, since it is smaller than the sum of its proper divisors (133929658174).

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

131820523250 is a wasteful number, since it uses less digits than its factorization.

131820523250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40560191 (or 40560181 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The spelling of 131820523250 in words is "one hundred thirty-one billion, eight hundred twenty million, five hundred twenty-three thousand, two hundred fifty".

Divisors: 1 2 5 10 13 25 26 50 65 125 130 250 325 650 1625 3250 40560161 81120322 202800805 405601610 527282093 1014004025 1054564186 2028008050 2636410465 5070020125 5272820930 10140040250 13182052325 26364104650 65910261625 131820523250