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13044001003020 = 22345131946796967
BaseRepresentation
bin1011110111010000101100…
…0010111101011000001100
31201011222211212011002010000
42331310023002331120030
53202203103224044040
643424155322444300
72514253335064131
oct275641302753014
951158755132100
1013044001003020
114179a255675a9
121568021663690
13738075920a90
14331493b28588
15179487541130
hexbdd0b0bd60c

13044001003020 has 480 divisors, whose sum is σ = 46403067110400. Its totient is φ = 3040753291776.

The previous prime is 13044001003009. The next prime is 13044001003049. The reversal of 13044001003020 is 2030010044031.

13044001003020 is a `hidden beast` number, since 130 + 4 + 400 + 100 + 30 + 2 + 0 = 666.

13044001003020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 13044001002984 and 13044001003002.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1872251577 + ... + 1872258543.

It is an arithmetic number, because the mean of its divisors is an integer number (96673056480).

Almost surely, 213044001003020 is an apocalyptic number.

13044001003020 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 13044001003020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23201533555200).

13044001003020 is an abundant number, since it is smaller than the sum of its proper divisors (33359066107380).

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

13044001003020 is a wasteful number, since it uses less digits than its factorization.

13044001003020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11699 (or 11688 counting only the distinct ones).

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

Adding to 13044001003020 its reverse (2030010044031), we get a palindrome (15074011047051).

The spelling of 13044001003020 in words is "thirteen trillion, forty-four billion, one million, three thousand, twenty".