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132012130100000 = 255567169911597
BaseRepresentation
bin11110000001000001111000…
…000111101110001100100000
3122022102020101022210001201212
4132001001320013232030200
5114300341320301200000
61144433311345045252
736543363435311543
oct3601017007561440
9568366338701655
10132012130100000
113907703698a747
1212980a03326828
1358878c8c03207
1424855c7a5485a
15103de12444c35
hex7810781ee320

132012130100000 has 288 divisors, whose sum is σ = 329923861646400. Its totient is φ = 51981621120000.

The previous prime is 132012130099937. The next prime is 132012130100021. The reversal of 132012130100000 is 1031210231.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11383294202 + ... + 11383305798.

It is an arithmetic number, because the mean of its divisors is an integer number (1145568964050).

Almost surely, 2132012130100000 is an apocalyptic number.

132012130100000 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 132012130100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164961930823200).

132012130100000 is an abundant number, since it is smaller than the sum of its proper divisors (197911731546400).

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

132012130100000 is an equidigital number, since it uses as much as digits as its factorization.

132012130100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13398 (or 13370 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 132012130100000 its reverse (1031210231), we get a palindrome (132013161310231).

The spelling of 132012130100000 in words is "one hundred thirty-two trillion, twelve billion, one hundred thirty million, one hundred thousand".