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132311301120 = 2103351795347
BaseRepresentation
bin111101100111001011…
…1100011110000000000
3110122112000001111201000
41323032113203300000
54131433143113440
6140441042212000
712362540334405
oct1731627436000
9418460044630
10132311301120
1151127309949
1221786954000
13c6279a582b
14659243a2ac
153695c18730
hex1ece5e3c00

132311301120 has 352 divisors, whose sum is σ = 472925779200. Its totient is φ = 35079340032.

The previous prime is 132311301011. The next prime is 132311301131. The reversal of 132311301120 is 21103113231.

132311301120 is a `hidden beast` number, since 1 + 32 + 311 + 301 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 132311301093 and 132311301102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24742287 + ... + 24747633.

Almost surely, 2132311301120 is an apocalyptic number.

132311301120 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 132311301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236462889600).

132311301120 is an abundant number, since it is smaller than the sum of its proper divisors (340614478080).

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

132311301120 is a wasteful number, since it uses less digits than its factorization.

132311301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5560 (or 5536 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 132311301120 its reverse (21103113231), we get a palindrome (153414414351).

The spelling of 132311301120 in words is "one hundred thirty-two billion, three hundred eleven million, three hundred one thousand, one hundred twenty".