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20132032021200 = 2435521118829061
BaseRepresentation
bin1001001001111010110101…
…00111100000001011010000
32122021121021221000010100000
410210331122213200023100
510114320400144134300
6110452310002330000
74145330343465201
oct444753247401320
978247257003300
1020132032021200
116461a46264830
122311880959900
13b3059a164878
144d85775595a8
1524da312d4c00
hex124f5a9e02d0

20132032021200 has 360 divisors, whose sum is σ = 79037774446176. Its totient is φ = 4880492352000.

The previous prime is 20132032021159. The next prime is 20132032021201. The reversal of 20132032021200 is 212023023102.

20132032021200 is a `hidden beast` number, since 2 + 0 + 1 + 320 + 320 + 2 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-4 number, since 4×201320320212004 (a number of 54 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20132032021201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8345331 + ... + 10483730.

Almost surely, 220132032021200 is an apocalyptic number.

20132032021200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20132032021200 is an abundant number, since it is smaller than the sum of its proper divisors (58905742424976).

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

20132032021200 is a wasteful number, since it uses less digits than its factorization.

20132032021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18829105 (or 18829082 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20132032021200 its reverse (212023023102), we get a palindrome (20344055044302).

The spelling of 20132032021200 in words is "twenty trillion, one hundred thirty-two billion, thirty-two million, twenty-one thousand, two hundred".