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131140221102320 = 24512751679249763
BaseRepresentation
bin11101110100010101110110…
…010010110110100011110000
3122012022212211111011202100212
4131310111312102312203300
5114142100133100233240
61142524552541203252
736423365634154133
oct3564256622664360
9565285744152325
10131140221102320
1138870289aa2751
121285ba2a860528
135823615178091
14245531334a21a
1510263d1158165
hex7745764b68f0

131140221102320 has 80 divisors (see below), whose sum is σ = 307308986204160. Its totient is φ = 52041832964352.

The previous prime is 131140221102313. The next prime is 131140221102427. The reversal of 131140221102320 is 23201122041131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 524933759 + ... + 525183521.

It is an arithmetic number, because the mean of its divisors is an integer number (3841362327552).

Almost surely, 2131140221102320 is an apocalyptic number.

131140221102320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131140221102320 is an abundant number, since it is smaller than the sum of its proper divisors (176168765101840).

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

131140221102320 is a wasteful number, since it uses less digits than its factorization.

131140221102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301582 (or 301576 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 131140221102320 its reverse (23201122041131), we get a palindrome (154341343143451).

The spelling of 131140221102320 in words is "one hundred thirty-one trillion, one hundred forty billion, two hundred twenty-one million, one hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 127 254 508 635 1016 1270 2032 2540 5080 10160 51679 103358 206716 249763 258395 413432 499526 516790 826864 999052 1033580 1248815 1998104 2067160 2497630 3996208 4134320 4995260 6563233 9990520 13126466 19981040 26252932 31719901 32816165 52505864 63439802 65632330 105011728 126879604 131264660 158599505 253759208 262529320 317199010 507518416 525058640 634398020 1268796040 2537592080 12907502077 25815004154 51630008308 64537510385 103260016616 129075020770 206520033232 258150041540 516300083080 1032600166160 1639252763779 3278505527558 6557011055116 8196263818895 13114022110232 16392527637790 26228044220464 32785055275580 65570110551160 131140221102320