Search a number
-
+
13223522121390 = 23357411091565579
BaseRepresentation
bin1100000001101101011101…
…0101101011011010101110
31201211011012222210210021000
43000123113111223122232
53213123233130341030
644042445135221130
72533240130314650
oct300332725533256
951734188723230
1013223522121390
114239078556939
1215969829777a6
1374bc852956c9
1433a0440a86d0
1517de92ba3860
hexc06d756b6ae

13223522121390 has 256 divisors, whose sum is σ = 41661962496000. Its totient is φ = 2921744286720.

The previous prime is 13223522121307. The next prime is 13223522121427. The reversal of 13223522121390 is 9312122532231.

13223522121390 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 3 + 52 + 212 + 1 + 390 = 666.

It is a congruent number.

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, 7663621 + ... + 9229199.

It is an arithmetic number, because the mean of its divisors is an integer number (162742041000).

Almost surely, 213223522121390 is an apocalyptic number.

13223522121390 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 13223522121390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20830981248000).

13223522121390 is an abundant number, since it is smaller than the sum of its proper divisors (28438440374610).

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

13223522121390 is a wasteful number, since it uses less digits than its factorization.

13223522121390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565752 (or 1565746 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 13223522121390 in words is "thirteen trillion, two hundred twenty-three billion, five hundred twenty-two million, one hundred twenty-one thousand, three hundred ninety".