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132013211000000 = 265611176171163
BaseRepresentation
bin11110000001000010111000…
…100011000001110011000000
3122022102100011122200110210012
4132001002320203001303000
5114300401024004000000
61144434010520324052
736543432301644521
oct3601027043016300
9568370148613705
10132013211000000
1139077541039930
1212981065313628
135887a3bb27305
14248568b420848
15103de772a6735
hex7810b88c1cc0

132013211000000 has 1568 divisors, whose sum is σ = 392238289285632. Its totient is φ = 43545600000000.

The previous prime is 132013210999933. The next prime is 132013211000003. The reversal of 132013211000000 is 112310231.

132013211000000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (132013211000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 809896999919 + ... + 809897000081.

Almost surely, 2132013211000000 is an apocalyptic number.

132013211000000 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 132013211000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196119144642816).

132013211000000 is an abundant number, since it is smaller than the sum of its proper divisors (260225078285632).

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

132013211000000 is an equidigital number, since it uses as much as digits as its factorization.

132013211000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 330 counting only the distinct ones).

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

Adding to 132013211000000 its reverse (112310231), we get a palindrome (132013323310231).

The spelling of 132013211000000 in words is "one hundred thirty-two trillion, thirteen billion, two hundred eleven million", and thus it is an aban number.