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131414221143320 = 235231085711315651
BaseRepresentation
bin11101111000010101000001…
…111110000011110100011000
3122020022002002000121000102112
4131320111001332003310120
5114211042311103041240
61143254505413051452
736452235623114663
oct3570250176036430
9566262060530375
10131414221143320
1138966504967a25
12128a4b58926b88
135843400548b5b
1424646a73a86da
15102d5bae70665
hex778541f83d18

131414221143320 has 64 divisors (see below), whose sum is σ = 308540812919040. Its totient is φ = 50279722416000.

The previous prime is 131414221143311. The next prime is 131414221143341. The reversal of 131414221143320 is 23341122414131.

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, 99227495 + ... + 100543145.

It is an arithmetic number, because the mean of its divisors is an integer number (4820950201860).

Almost surely, 2131414221143320 is an apocalyptic number.

131414221143320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131414221143320 is an abundant number, since it is smaller than the sum of its proper divisors (177126591775720).

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

131414221143320 is a wasteful number, since it uses less digits than its factorization.

131414221143320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424256 (or 1424252 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 131414221143320 its reverse (23341122414131), we get a palindrome (154755343557451).

The spelling of 131414221143320 in words is "one hundred thirty-one trillion, four hundred fourteen billion, two hundred twenty-one million, one hundred forty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 108571 217142 434284 542855 868568 1085710 1315651 2171420 2497133 2631302 4342840 4994266 5262604 6578255 9988532 10525208 12485665 13156510 19977064 24971330 26313020 30259973 49942660 52626040 60519946 99885320 121039892 151299865 242079784 302599730 605199460 1210398920 142841544721 285683089442 571366178884 714207723605 1142732357768 1428415447210 2856830894420 3285355528583 5713661788840 6570711057166 13141422114332 16426777642915 26282844228664 32853555285830 65707110571660 131414221143320