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12313312101232 = 2429472647213307
BaseRepresentation
bin1011001100101110101010…
…0110000000001101110000
31121121010210220001221101221
42303023222212000031300
53103220130344214412
642104354003434424
72410415231642542
oct263135246001560
947533726057357
1012313312101232
113a1805674585a
12146a49b385a14
136b41a946706c
14307d78acd692
1516546e130b07
hexb32ea980370

12313312101232 has 80 divisors (see below), whose sum is σ = 25214439029760. Its totient is φ = 5815656693504.

The previous prime is 12313312101199. The next prime is 12313312101257. The reversal of 12313312101232 is 23210121331321.

It is a super-2 number, since 2×123133121012322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12313312101197 and 12313312101206.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 57619123 + ... + 57832429.

It is an arithmetic number, because the mean of its divisors is an integer number (315180487872).

Almost surely, 212313312101232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12313312101232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12607219514880).

12313312101232 is an abundant number, since it is smaller than the sum of its proper divisors (12901126928528).

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

12313312101232 is a wasteful number, since it uses less digits than its factorization.

12313312101232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216038 (or 216032 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 12313312101232 its reverse (23210121331321), we get a palindrome (35523433432553).

The spelling of 12313312101232 in words is "twelve trillion, three hundred thirteen billion, three hundred twelve million, one hundred one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 29 47 58 94 116 188 232 376 464 752 1363 2647 2726 5294 5452 10588 10904 21176 21808 42352 76763 124409 153526 213307 248818 307052 426614 497636 614104 853228 995272 1228208 1706456 1990544 3412912 3607861 6185903 7215722 10025429 12371806 14431444 20050858 24743612 28862888 40101716 49487224 57725776 80203432 98974448 160406864 290737441 564623629 581474882 1129247258 1162949764 2258494516 2325899528 4516989032 4651799056 9033978064 16374085241 26537310563 32748170482 53074621126 65496340964 106149242252 130992681928 212298484504 261985363856 424596969008 769582006327 1539164012654 3078328025308 6156656050616 12313312101232