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132311323320000 = 2635411859116689
BaseRepresentation
bin11110000101011000100001…
…011011010001111011000000
3122100110211122121121102101020
4132011120201123101323000
5114320242042232220000
61145222552142105440
736604114635602016
oct3605304133217300
9570424577542336
10132311323320000
1139181a0a735210
1212a0a9a257b280
1358a9b9a846bb6
142495c8b9848b6
151046ac3d8cba0
hex7856216d1ec0

132311323320000 has 560 divisors, whose sum is σ = 477780128918400. Its totient is φ = 32037857280000.

The previous prime is 132311323319999. The next prime is 132311323320013. The reversal of 132311323320000 is 23323113231.

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 79 ways as a sum of consecutive naturals, for example, 1133821656 + ... + 1133938344.

It is an arithmetic number, because the mean of its divisors is an integer number (853178801640).

Almost surely, 2132311323320000 is an apocalyptic number.

132311323320000 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 132311323320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238890064459200).

132311323320000 is an abundant number, since it is smaller than the sum of its proper divisors (345468805598400).

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

132311323320000 is a wasteful number, since it uses less digits than its factorization.

132311323320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117594 (or 117569 counting only the distinct ones).

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

Adding to 132311323320000 its reverse (23323113231), we get a palindrome (132334646433231).

It can be divided in two parts, 13231 and 1323320000, that added together give a palindrome (1323333231).

The spelling of 132311323320000 in words is "one hundred thirty-two trillion, three hundred eleven billion, three hundred twenty-three million, three hundred twenty thousand".