Search a number
-
+
13521191112 = 233311132151223
BaseRepresentation
bin11001001011110110…
…10000000011001000
31021220022111200021000
430211323100003020
5210142411103422
610113410015000
7656032141152
oct144573200310
937808450230
1013521191112
1158093a6010
122754277460
131376366400
14923a79ad2
155420a3cac
hex325ed00c8

13521191112 has 384 divisors, whose sum is σ = 44861644800. Its totient is φ = 3740256000.

The previous prime is 13521191107. The next prime is 13521191143. The reversal of 13521191112 is 21119112531.

It is a happy number.

13521191112 is a `hidden beast` number, since 13 + 521 + 19 + 1 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 60633033 + ... + 60633255.

It is an arithmetic number, because the mean of its divisors is an integer number (116827200).

Almost surely, 213521191112 is an apocalyptic number.

13521191112 is a gapful number since it is divisible by the number (12) 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 13521191112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22430822400).

13521191112 is an abundant number, since it is smaller than the sum of its proper divisors (31340453688).

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

13521191112 is a wasteful number, since it uses less digits than its factorization.

13521191112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 403 counting only the distinct ones).

The product of its digits is 540, while the sum is 27.

It can be divided in two parts, 1352 and 1191112, that added together give a square (1192464 = 10922).

The spelling of 13521191112 in words is "thirteen billion, five hundred twenty-one million, one hundred ninety-one thousand, one hundred twelve".