Search a number
-
+
13023313920 = 22233523
BaseRepresentation
bin11000010000100000…
…00000000000000000
31020121121122220011000
430020100000000000
5203132432021140
65552142452000
7640505225151
oct141020000000
936547586130
1013023313920
115583359561
122635594000
1312c7175616
148b78b7928
15513509a30
hex308400000

13023313920 has 368 divisors, whose sum is σ = 48318376320. Its totient is φ = 3321888768.

The previous prime is 13023313903. The next prime is 13023313949. The reversal of 13023313920 is 2931332031.

13023313920 is a `hidden beast` number, since 1 + 302 + 331 + 3 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (368).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 566231029 + ... + 566231051.

Almost surely, 213023313920 is an apocalyptic number.

13023313920 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 13023313920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24159188160).

13023313920 is an abundant number, since it is smaller than the sum of its proper divisors (35295062400).

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

13023313920 is an frugal number, since it uses more digits than its factorization.

13023313920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 13023313920 its reverse (2931332031), we get a palindrome (15954645951).

The spelling of 13023313920 in words is "thirteen billion, twenty-three million, three hundred thirteen thousand, nine hundred twenty".