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12535214340 = 22351159321911
BaseRepresentation
bin10111010110010100…
…00011000100000100
31012100121012212101210
423223022003010010
5201133003324330
65431505051420
7622430364255
oct135312030404
935317185353
1012535214340
115352890080
12251a026b70
131249cc90bc
1486cb3cb2c
154d57428b0
hex2eb283104

12535214340 has 96 divisors (see below), whose sum is σ = 38938475520. Its totient is φ = 2987324800.

The previous prime is 12535214327. The next prime is 12535214369. The reversal of 12535214340 is 4341253521.

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

It is a junction number, because it is equal to n+sod(n) for n = 12535214298 and 12535214307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122016 + ... + 199895.

It is an arithmetic number, because the mean of its divisors is an integer number (405609120).

Almost surely, 212535214340 is an apocalyptic number.

12535214340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12535214340 is an abundant number, since it is smaller than the sum of its proper divisors (26403261180).

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

12535214340 is a wasteful number, since it uses less digits than its factorization.

12535214340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321993 (or 321991 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 12535214340 its reverse (4341253521), we get a palindrome (16876467861).

The spelling of 12535214340 in words is "twelve billion, five hundred thirty-five million, two hundred fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 59 60 66 110 118 132 165 177 220 236 295 330 354 590 649 660 708 885 1180 1298 1770 1947 2596 3245 3540 3894 6490 7788 9735 12980 19470 38940 321911 643822 965733 1287644 1609555 1931466 3219110 3541021 3862932 4828665 6438220 7082042 9657330 10623063 14164084 17705105 18992749 19314660 21246126 35410210 37985498 42492252 53115315 56978247 70820420 75970996 94963745 106230630 113956494 189927490 208920239 212461260 227912988 284891235 379854980 417840478 569782470 626760717 835680956 1044601195 1139564940 1253521434 2089202390 2507042868 3133803585 4178404780 6267607170 12535214340