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13111300020 = 22357133764901
BaseRepresentation
bin11000011010111111…
…01000111110110100
31020211202020001101110
430031133220332310
5203322443100040
610005004355020
7642624132330
oct141537507664
936752201343
1013111300020
115618a94845
12265ab45a70
13130c4709c0
148c545c7c0
1551b0d9980
hex30d7e8fb4

13111300020 has 192 divisors, whose sum is σ = 46405449216. Its totient is φ = 2691532800.

The previous prime is 13111300019. The next prime is 13111300039. The reversal of 13111300020 is 2000311131.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 13111299969 and 13111300005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 169570 + ... + 234470.

It is an arithmetic number, because the mean of its divisors is an integer number (241695048).

Almost surely, 213111300020 is an apocalyptic number.

13111300020 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 13111300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23202724608).

13111300020 is an abundant number, since it is smaller than the sum of its proper divisors (33294149196).

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

13111300020 is a wasteful number, since it uses less digits than its factorization.

13111300020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64970 (or 64968 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 13111300020 its reverse (2000311131), we get a palindrome (15111611151).

The spelling of 13111300020 in words is "thirteen billion, one hundred eleven million, three hundred thousand, twenty".