Search a number
-
+
13332031020 = 223257113672621
BaseRepresentation
bin11000110101010011…
…01010011000101100
31021102010120100101200
430122221222120230
5204300444443040
610042531405500
7651244252050
oct143251523054
937363510350
1013332031020
115721647260
122700a53890
131346106069
149068b9c60
1553068b630
hex31aa6a62c

13332031020 has 288 divisors, whose sum is σ = 50575988736. Its totient is φ = 2761689600.

The previous prime is 13332030947. The next prime is 13332031081. The reversal of 13332031020 is 2013023331.

13332031020 is a `hidden beast` number, since 1 + 3 + 332 + 0 + 310 + 20 = 666.

It is a super-2 number, since 2×133320310202 (a number of 21 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 = 13332030984 and 13332031002.

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, 5085310 + ... + 5087930.

It is an arithmetic number, because the mean of its divisors is an integer number (175611072).

Almost surely, 213332031020 is an apocalyptic number.

13332031020 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 13332031020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25287994368).

13332031020 is an abundant number, since it is smaller than the sum of its proper divisors (37243957716).

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

13332031020 is a wasteful number, since it uses less digits than its factorization.

13332031020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3021 (or 3016 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13332031020 its reverse (2013023331), we get a palindrome (15345054351).

The spelling of 13332031020 in words is "thirteen billion, three hundred thirty-two million, thirty-one thousand, twenty".