Search a number
-
+
131320033022112 = 253116113914666363
BaseRepresentation
bin11101110110111101010011…
…111010111001000010100000
3122012222001221220000201001220
4131312331103322321002200
5114203021411423201422
61143143331302455040
736442362560233344
oct3566752372710240
9565861856021056
10131320033022112
113892a571153440
121288a851434480
13583756cb4995c
14245dcd0187624
15102ae070ade5c
hex776f53eb90a0

131320033022112 has 192 divisors, whose sum is σ = 384967415508480. Its totient is φ = 38859992755200.

The previous prime is 131320033022077. The next prime is 131320033022117. The reversal of 131320033022112 is 211220330023131.

It is a super-2 number, since 2×1313200330221122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (131320033022117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1620643 + ... + 16287005.

It is an arithmetic number, because the mean of its divisors is an integer number (2005038622440).

Almost surely, 2131320033022112 is an apocalyptic number.

131320033022112 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 131320033022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192483707754240).

131320033022112 is an abundant number, since it is smaller than the sum of its proper divisors (253647382486368).

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

131320033022112 is a wasteful number, since it uses less digits than its factorization.

131320033022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14666587 (or 14666579 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 131320033022112 its reverse (211220330023131), we get a palindrome (342540363045243).

The spelling of 131320033022112 in words is "one hundred thirty-one trillion, three hundred twenty billion, thirty-three million, twenty-two thousand, one hundred twelve".