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20132011200 = 2635271913137
BaseRepresentation
bin10010101111111101…
…100001110011000000
31220222000221010120110
4102233331201303000
5312212243324300
613125402511320
71311614162130
oct225775416300
956860833513
1020132011200
1185a0aa4a94
123a9a205540
131b8ab48982
14d8da4aac0
157cc645550
hex4aff61cc0

20132011200 has 336 divisors, whose sum is σ = 75904856064. Its totient is φ = 4576051200.

The previous prime is 20132011199. The next prime is 20132011213. The reversal of 20132011200 is 211023102.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6416032 + ... + 6419168.

Almost surely, 220132011200 is an apocalyptic number.

20132011200 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 20132011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37952428032).

20132011200 is an abundant number, since it is smaller than the sum of its proper divisors (55772844864).

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

20132011200 is a wasteful number, since it uses less digits than its factorization.

20132011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3360 (or 3345 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 20132011200 its reverse (211023102), we get a palindrome (20343034302).

The spelling of 20132011200 in words is "twenty billion, one hundred thirty-two million, eleven thousand, two hundred".