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132330023002320 = 2435111321118273791
BaseRepresentation
bin11110000101101001111100…
…000000111010000011010000
3122100112121220211100201002220
4132011221330000322003100
5114321043341342033240
61145235323501141040
736605346221353203
oct3605517400720320
9570477824321086
10132330023002320
113918993616a320
1212a12540b5a780
1358ab88aa05090
142496b432a593a
15104731a8a45d0
hex785a7c03a0d0

132330023002320 has 320 divisors, whose sum is σ = 484224495648768. Its totient is φ = 29471968512000.

The previous prime is 132330023002301. The next prime is 132330023002337. The reversal of 132330023002320 is 23200320033231.

It is a super-2 number, since 2×1323300230023202 (a number of 29 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 63 ways as a sum of consecutive naturals, for example, 1895376 + ... + 16378415.

Almost surely, 2132330023002320 is an apocalyptic number.

132330023002320 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 132330023002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242112247824384).

132330023002320 is an abundant number, since it is smaller than the sum of its proper divisors (351894472646448).

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

132330023002320 is a wasteful number, since it uses less digits than its factorization.

132330023002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18274042 (or 18274036 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 132330023002320 its reverse (23200320033231), we get a palindrome (155530343035551).

The spelling of 132330023002320 in words is "one hundred thirty-two trillion, three hundred thirty billion, twenty-three million, two thousand, three hundred twenty".