Search a number
-
+
13132346520 = 2335131835391
BaseRepresentation
bin11000011101011111…
…11011010010011000
31020220012211022202110
430032233323102120
5203343340042040
610011035432320
7643301050356
oct141657732230
936805738673
1013132346520
11562995a347
122665bb56a0
13131392c557
148c817a7d6
1551cd95980
hex30ebfb498

13132346520 has 64 divisors (see below), whose sum is σ = 39697827840. Its totient is φ = 3475222400.

The previous prime is 13132346503. The next prime is 13132346543. The reversal of 13132346520 is 2564323131.

It is a super-2 number, since 2×131323465202 (a number of 21 digits) contains 22 as substring.

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

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, 401976 + ... + 433415.

It is an arithmetic number, because the mean of its divisors is an integer number (620278560).

Almost surely, 213132346520 is an apocalyptic number.

13132346520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13132346520 is an abundant number, since it is smaller than the sum of its proper divisors (26565481320).

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

13132346520 is a wasteful number, since it uses less digits than its factorization.

13132346520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835536 (or 835532 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 13132346520 its reverse (2564323131), we get a palindrome (15696669651).

The spelling of 13132346520 in words is "thirteen billion, one hundred thirty-two million, three hundred forty-six thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 131 262 393 524 655 786 1048 1310 1572 1965 2620 3144 3930 5240 7860 15720 835391 1670782 2506173 3341564 4176955 5012346 6683128 8353910 10024692 12530865 16707820 20049384 25061730 33415640 50123460 100246920 109436221 218872442 328308663 437744884 547181105 656617326 875489768 1094362210 1313234652 1641543315 2188724420 2626469304 3283086630 4377448840 6566173260 13132346520