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131142203303232 = 26311102101608161
BaseRepresentation
bin11101110100010111101100…
…011100010110010101000000
3122012100001221122000222211110
4131310113230130112111000
5114142113213021200412
61142525521350443320
736423466023454422
oct3564275434262500
9565301848028743
10131142203303232
1138871106992620
12128602a2663540
13582386ca2ca24
1424554606d0812
15102649a1a1d3c
hex7745ec716540

131142203303232 has 112 divisors (see below), whose sum is σ = 378528416570304. Its totient is φ = 39739607040000.

The previous prime is 131142203303219. The next prime is 131142203303263. The reversal of 131142203303232 is 232303302241131.

It is a self number, because there is not a number n which added to its sum of digits gives 131142203303232.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 215333232 + ... + 215941392.

It is an arithmetic number, because the mean of its divisors is an integer number (3379718005092).

Almost surely, 2131142203303232 is an apocalyptic number.

131142203303232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131142203303232 is an abundant number, since it is smaller than the sum of its proper divisors (247386213267072).

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

131142203303232 is a wasteful number, since it uses less digits than its factorization.

131142203303232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710288 (or 710278 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 131142203303232 its reverse (232303302241131), we get a palindrome (363445505544363).

The spelling of 131142203303232 in words is "one hundred thirty-one trillion, one hundred forty-two billion, two hundred three million, three hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 102101 204202 306303 408404 608161 612606 816808 1123111 1216322 1225212 1633616 1824483 2246222 2432644 2450424 3267232 3369333 3648966 4492444 4865288 4900848 6534464 6689771 6738666 7297932 8984888 9730576 9801696 13379542 13477332 14595864 17969776 19461152 19603392 20069313 26759084 26954664 29191728 35939552 38922304 40138626 53518168 53909328 58383456 71879104 80277252 107036336 107818656 116766912 160554504 214072672 215637312 321109008 428145344 642218016 1284436032 62093846261 124187692522 186281538783 248375385044 372563077566 496750770088 683032308871 745126155132 993501540176 1366064617742 1490252310264 1987003080352 2049096926613 2732129235484 2980504620528 3974006160704 4098193853226 5464258470968 5961009241056 8196387706452 10928516941936 11922018482112 16392775412904 21857033883872 32785550825808 43714067767744 65571101651616 131142203303232