Search a number
-
+
13023011220000 = 25354415293907
BaseRepresentation
bin1011110110000010011111…
…1101010010101000100000
31201002222200001011121210220
42331200213331102220200
53201332111333020000
643410404434523040
72512611233631345
oct275404775225040
951088601147726
1013023011220000
114171034362991
121563b44136480
137360ac175522
143304621d47cc
15178b599611a0
hexbd827f52a20

13023011220000 has 240 divisors, whose sum is σ = 43759994094432. Its totient is φ = 3388099840000.

The previous prime is 13023011219987. The next prime is 13023011220071. The reversal of 13023011220000 is 2211032031.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 186954 + ... + 5106953.

Almost surely, 213023011220000 is an apocalyptic number.

13023011220000 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 13023011220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21879997047216).

13023011220000 is an abundant number, since it is smaller than the sum of its proper divisors (30736982874432).

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

13023011220000 is an equidigital number, since it uses as much as digits as its factorization.

13023011220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5293981 (or 5293958 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13023011220000 its reverse (2211032031), we get a palindrome (13025222252031).

It can be divided in two parts, 130230 and 11220000, that added together give a triangular number (11350230 = T4764).

The spelling of 13023011220000 in words is "thirteen trillion, twenty-three billion, eleven million, two hundred twenty thousand".