Search a number
-
+
132315231100248 = 23347194732665201
BaseRepresentation
bin11110000101011100001010…
…010110010001110101011000
3122100111012201221210020010000
4132011130022112101311120
5114320323043130201443
61145224440015253000
736604313526306240
oct3605341226216530
9570435657706100
10132315231100248
1139183635561369
1212a0b6b321a160
1358aa37131a1c1
14249613c970b20
151046c51e988d3
hex78570a591d58

132315231100248 has 320 divisors, whose sum is σ = 455326783718400. Its totient is φ = 35052634137600.

The previous prime is 132315231100237. The next prime is 132315231100249. The reversal of 132315231100248 is 842001132513231.

132315231100248 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 1 + 523 + 1 + 100 + 24 + 8 = 666.

It is a super-2 number, since 2×1323152311002482 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132315231100249) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12281953 + ... + 20383248.

It is an arithmetic number, because the mean of its divisors is an integer number (1422896199120).

Almost surely, 2132315231100248 is an apocalyptic number.

132315231100248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

132315231100248 is an abundant number, since it is smaller than the sum of its proper divisors (323011552618152).

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

132315231100248 is a wasteful number, since it uses less digits than its factorization.

132315231100248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32665292 (or 32665279 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 132315231100248 its reverse (842001132513231), we get a palindrome (974316363613479).

The spelling of 132315231100248 in words is "one hundred thirty-two trillion, three hundred fifteen billion, two hundred thirty-one million, one hundred thousand, two hundred forty-eight".