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132122303232210 = 233517376761115067
BaseRepresentation
bin11110000010101000011110…
…111100110111100011010010
3122022210202202110222001212000
4132002220132330313203102
5114304142434111412320
61145000052001414430
736554343561424614
oct3602503674674322
9568722673861760
10132122303232210
1139109832831625
121299a23003a416
13589510623acc5
14248aa79c24db4
151041c0e83ac90
hex782a1ef378d2

132122303232210 has 256 divisors, whose sum is σ = 383193672583680. Its totient is φ = 32258835947520.

The previous prime is 132122303232181. The next prime is 132122303232221. The reversal of 132122303232210 is 12232303221231.

132122303232210 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 22 + 303 + 2 + 322 + 10 = 666.

It is a super-2 number, since 2×1321223032322102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1148163097 + ... + 1148278163.

It is an arithmetic number, because the mean of its divisors is an integer number (1496850283530).

Almost surely, 2132122303232210 is an apocalyptic number.

132122303232210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132122303232210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191596836291840).

132122303232210 is an abundant number, since it is smaller than the sum of its proper divisors (251071369351470).

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

132122303232210 is a wasteful number, since it uses less digits than its factorization.

132122303232210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121898 (or 121892 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 132122303232210 its reverse (12232303221231), we get a palindrome (144354606453441).

The spelling of 132122303232210 in words is "one hundred thirty-two trillion, one hundred twenty-two billion, three hundred three million, two hundred thirty-two thousand, two hundred ten".