Search a number
-
+
123980623013 = 1329378888137
BaseRepresentation
bin111001101110111010…
…0100010110010100101
3102212000102102012201102
41303131310202302211
54012403014414023
6132542251005445
711646232623212
oct1633564426245
9385012365642
10123980623013
1148641914105
1220040a39885
13b8caab30c0
146001c94b09
15335969e628
hex1cddd22ca5

123980623013 has 16 divisors (see below), whose sum is σ = 141854682480. Its totient is φ = 107510893056.

The previous prime is 123980623009. The next prime is 123980623037. The reversal of 123980623013 is 310326089321.

It can be written as a sum of positive squares in 8 ways, for example, as 9166722049 + 114813900964 = 95743^2 + 338842^2 .

It is a cyclic number.

It is not a de Polignac number, because 123980623013 - 22 = 123980623009 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123980623073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4430120 + ... + 4458017.

It is an arithmetic number, because the mean of its divisors is an integer number (8865917655).

Almost surely, 2123980623013 is an apocalyptic number.

123980623013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

123980623013 is a deficient number, since it is larger than the sum of its proper divisors (17874059467).

123980623013 is a wasteful number, since it uses less digits than its factorization.

123980623013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8888216.

The product of its (nonzero) digits is 46656, while the sum is 38.

The spelling of 123980623013 in words is "one hundred twenty-three billion, nine hundred eighty million, six hundred twenty-three thousand, thirteen".

Divisors: 1 13 29 37 377 481 1073 13949 8888137 115545781 257755973 328861069 3350827649 4275193897 9536971001 123980623013