Search a number
-
+
13100004202320 = 24325731837710009
BaseRepresentation
bin1011111010100001010100…
…0110001101011101010000
31201101100101211001101000200
42332220111012031131100
53204112302033433240
643510020413415200
72521305213321510
oct276502506153520
951340354041020
1013100004202320
1141a0753946092
121576a50a9a500
1374042c309829
1433408785b840
1517ab63e51930
hexbea1518d750

13100004202320 has 480 divisors, whose sum is σ = 51912350730240. Its totient is φ = 2897061396480.

The previous prime is 13100004202283. The next prime is 13100004202333. The reversal of 13100004202320 is 2320240000131.

13100004202320 is a `hidden beast` number, since 1 + 3 + 10 + 0 + 0 + 0 + 420 + 232 + 0 = 666.

It is a super-2 number, since 2×131000042023202 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 13100004202293 and 13100004202302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1308817476 + ... + 1308827484.

It is an arithmetic number, because the mean of its divisors is an integer number (108150730688).

Almost surely, 213100004202320 is an apocalyptic number.

13100004202320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13100004202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25956175365120).

13100004202320 is an abundant number, since it is smaller than the sum of its proper divisors (38812346527920).

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

13100004202320 is a wasteful number, since it uses less digits than its factorization.

13100004202320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18443 (or 18434 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13100004202320 its reverse (2320240000131), we get a palindrome (15420244202451).

The spelling of 13100004202320 in words is "thirteen trillion, one hundred billion, four million, two hundred two thousand, three hundred twenty".