Search a number
-
+
13055491020 = 2235112131779103
BaseRepresentation
bin11000010100010101…
…01111101111001100
31020200212012122211110
430022022233233030
5203214201203040
65555252252020
7641345562015
oct141212575714
936625178743
1013055491020
11559a536700
122644311010
131300a30520
148bbc9200c
15516263980
hex30a2afbcc

13055491020 has 576 divisors, whose sum is σ = 46847324160. Its totient is φ = 2688491520.

The previous prime is 13055490971. The next prime is 13055491049. The reversal of 13055491020 is 2019455031.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 126752289 + ... + 126752391.

It is an arithmetic number, because the mean of its divisors is an integer number (81332160).

Almost surely, 213055491020 is an apocalyptic number.

13055491020 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 13055491020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23423662080).

13055491020 is an abundant number, since it is smaller than the sum of its proper divisors (33791833140).

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

13055491020 is a wasteful number, since it uses less digits than its factorization.

13055491020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 13055491020 in words is "thirteen billion, fifty-five million, four hundred ninety-one thousand, twenty".