Search a number
-
+
13301731100 = 22527231671307
BaseRepresentation
bin11000110001101100…
…00100111100011100
31021100000112221201102
430120312010330130
5204220220343400
610035530132232
7650425564100
oct143066047434
937300487642
1013301731100
1157065314a9
1226b2881078
13133ca57708
1490286d900
1552cba39d5
hex318d84f1c

13301731100 has 216 divisors, whose sum is σ = 35204746752. Its totient is φ = 4344278400.

The previous prime is 13301731099. The next prime is 13301731111. The reversal of 13301731100 is 113710331.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10176647 + ... + 10177953.

Almost surely, 213301731100 is an apocalyptic number.

13301731100 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 13301731100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17602373376).

13301731100 is an abundant number, since it is smaller than the sum of its proper divisors (21903015652).

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

13301731100 is a wasteful number, since it uses less digits than its factorization.

13301731100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 189, while the sum is 20.

The spelling of 13301731100 in words is "thirteen billion, three hundred one million, seven hundred thirty-one thousand, one hundred".