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13332131232330 = 23531711011999111
BaseRepresentation
bin1100001000000010000011…
…1100100011101001001010
31202012112120011000021112110
43002000200330203221022
53221413201043413310
644204410241323150
72544133432450161
oct302004074435112
952175504007473
1013332131232330
114280141570459
1215b3a339364b6
137592a3583b21
143413c866c3d8
15181becb05d20
hexc2020f23a4a

13332131232330 has 128 divisors (see below), whose sum is σ = 33826126528512. Its totient is φ = 3358504800000.

The previous prime is 13332131232319. The next prime is 13332131232331. The reversal of 13332131232330 is 3323213123331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (13332131232331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5669475 + ... + 7668585.

It is an arithmetic number, because the mean of its divisors is an integer number (264266613504).

Almost surely, 213332131232330 is an apocalyptic number.

13332131232330 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 13332131232330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16913063264256).

13332131232330 is an abundant number, since it is smaller than the sum of its proper divisors (20493995296182).

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

13332131232330 is a wasteful number, since it uses less digits than its factorization.

13332131232330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1999324.

The product of its (nonzero) digits is 17496, while the sum is 30.

Adding to 13332131232330 its reverse (3323213123331), we get a palindrome (16655344355661).

The spelling of 13332131232330 in words is "thirteen trillion, three hundred thirty-two billion, one hundred thirty-one million, two hundred thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 71 93 101 142 155 186 202 213 303 310 355 426 465 505 606 710 930 1010 1065 1515 2130 2201 3030 3131 4402 6262 6603 7171 9393 11005 13206 14342 15655 18786 21513 22010 31310 33015 35855 43026 46965 66030 71710 93930 107565 215130 222301 444602 666903 1111505 1333806 1999111 2223010 3334515 3998222 5997333 6669030 9995555 11994666 19991110 29986665 59973330 61972441 123944882 141936881 185917323 201910211 283873762 309862205 371834646 403820422 425810643 605730633 619724410 709684405 851621286 929586615 1009551055 1211461266 1419368810 1859173230 2019102110 2129053215 3028653165 4258106430 4400043311 6057306330 6259216541 8800086622 12518433082 13200129933 14335624981 18777649623 22000216555 26400259866 28671249962 31296082705 37555299246 43006874943 44000433110 62592165410 66000649665 71678124905 86013749886 93888248115 132001299330 143356249810 187776496230 215034374715 430068749430 444404374411 888808748822 1333213123233 2222021872055 2666426246466 4444043744110 6666065616165 13332131232330