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200013132011220 = 22325111513833174533
BaseRepresentation
bin101101011110100100101111…
…101011110001011011010100
3222020012001212001211100101100
4231132210233223301123110
5202204003343243324340
61545220433034030100
760062320603500513
oct5536445753613324
9866161761740340
10200013132011220
1158804102763790
121a523a75278330
13877b207b01918
143756989b1467a
15181cc01dba830
hexb5e92faf16d4

200013132011220 has 288 divisors, whose sum is σ = 666422462893824. Its totient is φ = 48154076928000.

The previous prime is 200013132011197. The next prime is 200013132011227. The reversal of 200013132011220 is 22110231310002.

200013132011220 is a `hidden beast` number, since 200 + 0 + 1 + 31 + 320 + 112 + 2 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 200013132011193 and 200013132011202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200013132011227) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1145903074 + ... + 1146077606.

It is an arithmetic number, because the mean of its divisors is an integer number (2313966885048).

Almost surely, 2200013132011220 is an apocalyptic number.

200013132011220 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 200013132011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333211231446912).

200013132011220 is an abundant number, since it is smaller than the sum of its proper divisors (466409330882604).

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

200013132011220 is a wasteful number, since it uses less digits than its factorization.

200013132011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178543 (or 178538 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 200013132011220 its reverse (22110231310002), we get a palindrome (222123363321222).

The spelling of 200013132011220 in words is "two hundred trillion, thirteen billion, one hundred thirty-two million, eleven thousand, two hundred twenty".