Search a number
-
+
132301230112320 = 263513918112914243
BaseRepresentation
bin11110000101001111000111…
…110100101111111001000000
3122100102212121012110100100120
4132011033013310233321000
5114320110404402043240
61145214202425420240
736603306550004403
oct3605170764577100
9570385535410316
10132301230112320
1139178700348965
1212a08a4633a680
1358a8c4c753769
1424955b12bbd3a
1510466d2c1cad0
hex7853c7d2fe40

132301230112320 has 448 divisors, whose sum is σ = 425845708753920. Its totient is φ = 34797811507200.

The previous prime is 132301230112231. The next prime is 132301230112369. The reversal of 132301230112320 is 23211032103231.

It is a super-3 number, since 3×1323012301123203 (a number of 43 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31181056119 + ... + 31181060361.

It is an arithmetic number, because the mean of its divisors is an integer number (950548457040).

Almost surely, 2132301230112320 is an apocalyptic number.

132301230112320 is a gapful number since it is divisible by the number (10) 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 132301230112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212922854376960).

132301230112320 is an abundant number, since it is smaller than the sum of its proper divisors (293544478641600).

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

132301230112320 is a wasteful number, since it uses less digits than its factorization.

132301230112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5874 (or 5864 counting only the distinct ones).

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

Adding to 132301230112320 its reverse (23211032103231), we get a palindrome (155512262215551).

The spelling of 132301230112320 in words is "one hundred thirty-two trillion, three hundred one billion, two hundred thirty million, one hundred twelve thousand, three hundred twenty".