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22132340210000 = 245419911299851
BaseRepresentation
bin1010000100001000101100…
…10001101011100101010000
32220100211102211202120212002
411002010112101223211100
510400104013043210000
6115023242353053132
74443003010526666
oct502042621534520
986324384676762
1022132340210000
1170633000723a9
12259548bb571a8
13c470bc503077
145672d4d10c36
15285aa638c8d5
hex14211646b950

22132340210000 has 200 divisors, whose sum is σ = 53907050472000. Its totient is φ = 8799753600000.

The previous prime is 22132340209963. The next prime is 22132340210039. The reversal of 22132340210000 is 1204323122.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 2246705075 + ... + 2246714925.

It is an arithmetic number, because the mean of its divisors is an integer number (269535252360).

Almost surely, 222132340210000 is an apocalyptic number.

22132340210000 is a gapful number since it is divisible by the number (20) 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 22132340210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26953525236000).

22132340210000 is an abundant number, since it is smaller than the sum of its proper divisors (31774710262000).

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

22132340210000 is a wasteful number, since it uses less digits than its factorization.

22132340210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11207 (or 11186 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 22132340210000 its reverse (1204323122), we get a palindrome (22133544533122).

The spelling of 22132340210000 in words is "twenty-two trillion, one hundred thirty-two billion, three hundred forty million, two hundred ten thousand".