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131321122320 = 24353517155579
BaseRepresentation
bin111101001001101011…
…0010100111000010000
3110112221222212012202010
41322103112110320100
54122421201403240
6140154511222520
712326155056633
oct1722326247020
9415858765663
10131321122320
1150769393963
122154b217a40
13c4ca7c6a0b
1464dab27c1a
153638d27280
hex1e93594e10

131321122320 has 80 divisors (see below), whose sum is σ = 407213847360. Its totient is φ = 35008783872.

The previous prime is 131321122307. The next prime is 131321122321. The reversal of 131321122320 is 23221123131.

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

It is not an unprimeable number, because it can be changed into a prime (131321122321) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 766291 + ... + 921869.

It is an arithmetic number, because the mean of its divisors is an integer number (5090173092).

Almost surely, 2131321122320 is an apocalyptic number.

131321122320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131321122320 is an abundant number, since it is smaller than the sum of its proper divisors (275892725040).

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

131321122320 is a wasteful number, since it uses less digits than its factorization.

131321122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159112 (or 159106 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 131321122320 its reverse (23221123131), we get a palindrome (154542245451).

The spelling of 131321122320 in words is "one hundred thirty-one billion, three hundred twenty-one million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 3517 7034 10551 14068 17585 21102 28136 35170 42204 52755 56272 70340 84408 105510 140680 155579 168816 211020 281360 311158 422040 466737 622316 777895 844080 933474 1244632 1555790 1866948 2333685 2489264 3111580 3733896 4667370 6223160 7467792 9334740 12446320 18669480 37338960 547171343 1094342686 1641514029 2188685372 2735856715 3283028058 4377370744 5471713430 6566056116 8207570145 8754741488 10943426860 13132112232 16415140290 21886853720 26264224464 32830280580 43773707440 65660561160 131321122320