Search a number
-
+
13011201132210 = 23351925150320089
BaseRepresentation
bin1011110101010110100000…
…0001011000011010110010
31201001212011222102000001000
42331111220001120122302
53201133414442212320
643401132511422430
72512012456555461
oct275255001303262
951055158360030
1013011201132210
114167023924156
1215617a8b24a16
13734c494754b8
1432da618d09d8
151786b7c05c90
hexbd5680586b2

13011201132210 has 256 divisors, whose sum is σ = 36742906368000. Its totient is φ = 3267273024000.

The previous prime is 13011201132169. The next prime is 13011201132227. The reversal of 13011201132210 is 1223110211031.

13011201132210 is a `hidden beast` number, since 1 + 301 + 1 + 20 + 1 + 132 + 210 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 647667846 + ... + 647687934.

It is an arithmetic number, because the mean of its divisors is an integer number (143526978000).

Almost surely, 213011201132210 is an apocalyptic number.

13011201132210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13011201132210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18371453184000).

13011201132210 is an abundant number, since it is smaller than the sum of its proper divisors (23731705235790).

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

13011201132210 is a wasteful number, since it uses less digits than its factorization.

13011201132210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20878 (or 20872 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 13011201132210 its reverse (1223110211031), we get a palindrome (14234311343241).

The spelling of 13011201132210 in words is "thirteen trillion, eleven billion, two hundred one million, one hundred thirty-two thousand, two hundred ten".