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132124115253 = 31320731163417
BaseRepresentation
bin111101100001100110…
…1100000000100110101
3110122000221211110222010
41323003031200010311
54131042233142003
6140410314154433
712355105310124
oct1730315400465
9418027743863
10132124115253
1151040689389
1221734122a19
13c5c7c86c70
146575631abb
153684591003
hex1ec3360135

132124115253 has 16 divisors (see below), whose sum is σ = 189726990656. Its totient is φ = 81302728320.

The previous prime is 132124115239. The next prime is 132124115281. The reversal of 132124115253 is 352511421231.

It is a happy number.

It is not a de Polignac number, because 132124115253 - 213 = 132124107061 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 132124115253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132124115203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 726801 + ... + 890217.

It is an arithmetic number, because the mean of its divisors is an integer number (11857936916).

Almost surely, 2132124115253 is an apocalyptic number.

132124115253 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

132124115253 is a deficient number, since it is larger than the sum of its proper divisors (57602875403).

132124115253 is a wasteful number, since it uses less digits than its factorization.

132124115253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184164.

The product of its digits is 7200, while the sum is 30.

Adding to 132124115253 its reverse (352511421231), we get a palindrome (484635536484).

The spelling of 132124115253 in words is "one hundred thirty-two billion, one hundred twenty-four million, one hundred fifteen thousand, two hundred fifty-three".

Divisors: 1 3 13 39 20731 62193 163417 269503 490251 808509 2124421 6373263 3387797827 10163393481 44041371751 132124115253