Search a number
-
+
13120124004 = 22321328034453
BaseRepresentation
bin11000011100000010…
…10011010001100100
31020212100211100121200
430032001103101210
5203332222432004
610005521442500
7643062133251
oct141601232144
936770740550
1013120124004
115622a71399
122661aa0430
1313112401b0
148c66b8428
1551bc7e239
hex30e053464

13120124004 has 36 divisors (see below), whose sum is σ = 35715894396. Its totient is φ = 4036961088.

The previous prime is 13120123963. The next prime is 13120124011. The reversal of 13120124004 is 40042102131.

It can be written as a sum of positive squares in 2 ways, for example, as 654848100 + 12465275904 = 25590^2 + 111648^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 11 ways as a sum of consecutive naturals, for example, 14016759 + ... + 14017694.

Almost surely, 213120124004 is an apocalyptic number.

It is an amenable number.

13120124004 is an abundant number, since it is smaller than the sum of its proper divisors (22595770392).

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

13120124004 is a wasteful number, since it uses less digits than its factorization.

13120124004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28034476 (or 28034471 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 13120124004 its reverse (40042102131), we get a palindrome (53162226135).

The spelling of 13120124004 in words is "thirteen billion, one hundred twenty million, one hundred twenty-four thousand, four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 28034453 56068906 84103359 112137812 168206718 252310077 336413436 364447889 504620154 728895778 1009240308 1093343667 1457791556 2186687334 3280031001 4373374668 6560062002 13120124004