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131232330014214 = 231113229174033423
BaseRepresentation
bin11101110101101011101000…
…011010011101111000000110
3122012122200120201100021202010
4131311223220122131320012
5114200102302440423324
61143035144454555050
736433136322042642
oct3565535032357006
9565580521307663
10131232330014214
11388a6356089530
1212875855968a86
13582c203b88700
142459970373c22
1510289c270c829
hex775ae869de06

131232330014214 has 96 divisors (see below), whose sum is σ = 310150687025664. Its totient is φ = 36695750682240.

The previous prime is 131232330014207. The next prime is 131232330014221. The reversal of 131232330014214 is 412410033232131.

It is an interprime number because it is at equal distance from previous prime (131232330014207) and next prime (131232330014221).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30519507 + ... + 34552929.

It is an arithmetic number, because the mean of its divisors is an integer number (3230736323184).

Almost surely, 2131232330014214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131232330014214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155075343512832).

131232330014214 is an abundant number, since it is smaller than the sum of its proper divisors (178918357011450).

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

131232330014214 is a wasteful number, since it uses less digits than its factorization.

131232330014214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4036382 (or 4036369 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 131232330014214 its reverse (412410033232131), we get a palindrome (543642363246345).

The spelling of 131232330014214 in words is "one hundred thirty-one trillion, two hundred thirty-two billion, three hundred thirty million, fourteen thousand, two hundred fourteen".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 169 286 338 429 507 858 1014 1859 2917 3718 5577 5834 8751 11154 17502 32087 37921 64174 75842 96261 113763 192522 227526 417131 492973 834262 985946 1251393 1478919 2502786 2957838 4033423 5422703 8066846 10845406 12100269 16268109 24200538 32536218 44367653 52434499 88735306 104868998 133102959 157303497 266205918 314606994 576779489 681648487 1153558978 1363296974 1730338467 2044945461 3460676934 4089890922 7498133357 11765494891 14996266714 22494400071 23530989782 35296484673 44988800142 70592969346 129420443801 152951433583 258840887602 305902867166 388261331403 458854300749 776522662806 917708601498 1682465769413 1988368636579 3364931538826 3976737273158 5047397308239 5965105909737 10094794616478 11930211819474 21872055002369 43744110004738 65616165007107 131232330014214