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2252440132131 = 37313635395177
BaseRepresentation
bin100000110001101111111…
…001001101101000100011
321222022221102111021002110
4200301233321031220203
5243400444133212011
64442431241050403
7321506365136460
oct40615771155043
97868842437073
102252440132131
11799288808462
12304655786a03
13134534020917
147b0393aa667
153d8d0148ba6
hex20c6fe4da23

2252440132131 has 32 divisors (see below), whose sum is σ = 3543143436288. Its totient is φ = 1245541662720.

The previous prime is 2252440132121. The next prime is 2252440132133. The reversal of 2252440132131 is 1312310442522.

It is a happy number.

2252440132131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2252440132131 - 26 = 2252440132067 is a prime.

It is a super-2 number, since 2×22524401321312 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2252440132133) 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, 23618215 + ... + 23713391.

It is an arithmetic number, because the mean of its divisors is an integer number (110723232384).

Almost surely, 22252440132131 is an apocalyptic number.

2252440132131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2252440132131 is a deficient number, since it is larger than the sum of its proper divisors (1290703304157).

2252440132131 is a wasteful number, since it uses less digits than its factorization.

2252440132131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131571.

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 2252440132131 its reverse (1312310442522), we get a palindrome (3564750574653).

The spelling of 2252440132131 in words is "two trillion, two hundred fifty-two billion, four hundred forty million, one hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 7 21 31 93 217 651 36353 95177 109059 254471 285531 666239 763413 1126943 1998717 2950487 3380829 7888601 8851461 20653409 23665803 61960227 3459969481 10379908443 24219786367 72659359101 107259053911 321777161733 750813377377 2252440132131