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132302313312 = 253131943129757
BaseRepresentation
bin111101100110111010…
…1010001011101100000
3110122111101010212202020
41323031311101131200
54131423343011222
6140440121421440
712362401052031
oct1731565213540
9418441125666
10132302313312
1151122230204
122178393a880
13c625b798c0
14659117aa88
15369504065c
hex1ecdd51760

132302313312 has 192 divisors, whose sum is σ = 402851877120. Its totient is φ = 37668685824.

The previous prime is 132302313277. The next prime is 132302313397. The reversal of 132302313312 is 213313203231.

It is a super-2 number, since 2×1323023133122 (a number of 23 digits) contains 22 as substring.

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

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, 954738 + ... + 1084494.

It is an arithmetic number, because the mean of its divisors is an integer number (2098186860).

Almost surely, 2132302313312 is an apocalyptic number.

132302313312 is a gapful number since it is divisible by the number (12) 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 132302313312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201425938560).

132302313312 is an abundant number, since it is smaller than the sum of its proper divisors (270549563808).

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

132302313312 is a wasteful number, since it uses less digits than its factorization.

132302313312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129845 (or 129837 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 132302313312 its reverse (213313203231), we get a palindrome (345615516543).

The spelling of 132302313312 in words is "one hundred thirty-two billion, three hundred two million, three hundred thirteen thousand, three hundred twelve".