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13234312120 = 2351078633583
BaseRepresentation
bin11000101001101001…
…11001001110111000
31021011022200201021011
430110310321032320
5204100440441440
610025121123304
7645646540231
oct142464711670
937138621234
1013234312120
115681473637
122694189534
13132bab0923
148d7920088
15526cd79ea
hex314d393b8

13234312120 has 64 divisors (see below), whose sum is σ = 30098718720. Its totient is φ = 5236712064.

The previous prime is 13234312111. The next prime is 13234312121. The reversal of 13234312120 is 2121343231.

13234312120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13234312091 and 13234312100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13234312121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3691849 + ... + 3695431.

It is an arithmetic number, because the mean of its divisors is an integer number (470292480).

Almost surely, 213234312120 is an apocalyptic number.

13234312120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13234312120 is an abundant number, since it is smaller than the sum of its proper divisors (16864406600).

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

13234312120 is a wasteful number, since it uses less digits than its factorization.

13234312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4564 (or 4560 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 13234312120 its reverse (2121343231), we get a palindrome (15355655351).

The spelling of 13234312120 in words is "thirteen billion, two hundred thirty-four million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 107 214 428 535 856 863 1070 1726 2140 3452 3583 4280 4315 6904 7166 8630 14332 17260 17915 28664 34520 35830 71660 92341 143320 184682 369364 383381 461705 738728 766762 923410 1533524 1846820 1916905 3067048 3092129 3693640 3833810 6184258 7667620 12368516 15335240 15460645 24737032 30921290 61842580 123685160 330857803 661715606 1323431212 1654289015 2646862424 3308578030 6617156060 13234312120