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131241432322 = 272111310192723
BaseRepresentation
bin111101000111010011…
…0010101010100000010
3110112202102220112121201
41322032212111110002
54122240301313242
6140142543211414
712324166524400
oct1721646252402
9415672815551
10131241432322
1150728404660
12215285a6b6a
13c4b7144780
1464d0302470
153631d354b7
hex1e8e995502

131241432322 has 96 divisors (see below), whose sum is σ = 271705057344. Its totient is φ = 46731888000.

The previous prime is 131241432211. The next prime is 131241432367. The reversal of 131241432322 is 223234142131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1369053 + ... + 1461775.

It is an arithmetic number, because the mean of its divisors is an integer number (2830261014).

Almost surely, 2131241432322 is an apocalyptic number.

131241432322 is an abundant number, since it is smaller than the sum of its proper divisors (140463625022).

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

131241432322 is a wasteful number, since it uses less digits than its factorization.

131241432322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92864 (or 92857 counting only the distinct ones).

The product of its digits is 6912, while the sum is 28.

Adding to 131241432322 its reverse (223234142131), we get a palindrome (354475574453).

Subtracting 131241432322 from its reverse (223234142131), we obtain a square (91992709809 = 3033032).

The spelling of 131241432322 in words is "one hundred thirty-one billion, two hundred forty-one million, four hundred thirty-two thousand, three hundred twenty-two".

Divisors: 1 2 7 11 13 14 22 26 49 77 91 98 101 143 154 182 202 286 539 637 707 1001 1078 1111 1274 1313 1414 2002 2222 2626 4949 7007 7777 9191 9898 14014 14443 15554 18382 28886 54439 64337 92723 101101 108878 128674 185446 202202 649061 707707 1019953 1205399 1298122 1415414 2039906 2410798 4543427 7139671 8437793 9086854 9365023 13259389 14279342 16875586 18730046 26518778 49977697 59064551 65555161 92815723 99955394 103015253 118129102 121745299 131110322 185631446 206030506 243490598 458886127 649710061 721106771 852217093 917772254 1299420122 1339198289 1442213542 1704434186 2678396578 5047747397 5965519651 9374388023 10095494794 11931039302 18748776046 65620716161 131241432322