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131232321330 = 23511618277883
BaseRepresentation
bin111101000111000001…
…1100100111100110010
3110112201210202122200120
41322032003210330302
54122230433240310
6140142020031110
712324026216625
oct1721603447462
9415653678616
10131232321330
1150723251410
1221525532496
13c4b52a4756
1464cd00ddbc
153631135b70
hex1e8e0e4f32

131232321330 has 128 divisors (see below), whose sum is σ = 349689332736. Its totient is φ = 31250553600.

The previous prime is 131232321329. The next prime is 131232321343. The reversal of 131232321330 is 33123232131.

It is a self number, because there is not a number n which added to its sum of digits gives 131232321330.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16643569 + ... + 16651451.

It is an arithmetic number, because the mean of its divisors is an integer number (2731947912).

Almost surely, 2131232321330 is an apocalyptic number.

131232321330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131232321330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174844666368).

131232321330 is an abundant number, since it is smaller than the sum of its proper divisors (218457011406).

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

131232321330 is a wasteful number, since it uses less digits than its factorization.

131232321330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8792.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 131232321330 its reverse (33123232131), we get a palindrome (164355553461).

The spelling of 131232321330 in words is "one hundred thirty-one billion, two hundred thirty-two million, three hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 61 66 110 122 165 183 305 330 366 610 671 827 915 1342 1654 1830 2013 2481 3355 4026 4135 4962 6710 7883 8270 9097 10065 12405 15766 18194 20130 23649 24810 27291 39415 45485 47298 50447 54582 78830 86713 90970 100894 118245 136455 151341 173426 236490 252235 260139 272910 302682 433565 480863 504470 520278 554917 756705 867130 961726 1109834 1300695 1442589 1513410 1664751 2404315 2601390 2774585 2885178 3329502 4808630 5289493 5549170 6519241 7212945 8323755 10578986 13038482 14425890 15868479 16647510 19557723 26447465 31736958 32596205 39115446 52894930 65192410 71711651 79342395 97788615 143423302 158684790 195577230 215134953 358558255 397673701 430269906 717116510 795347402 1075674765 1193021103 1988368505 2151349530 2386042206 3976737010 4374410711 5965105515 8748821422 11930211030 13123232133 21872053555 26246464266 43744107110 65616160665 131232321330