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231200222020020 = 22325111376476591999
BaseRepresentation
bin110100100100011001111111…
…000110110000000110110100
31010022121112011222210201020200
4310210121333012300012310
5220300441023314120040
62135415525444000500
766461444013605541
oct6444317706600664
91108545158721220
10231200222020020
1167738510a53410
1221b2019a690130
139c01119cacb06
144114216badbc8
151bae0ad2ac630
hexd2467f1b01b4

231200222020020 has 576 divisors, whose sum is σ = 773395983360000. Its totient is φ = 55441381201920.

The previous prime is 231200222019997. The next prime is 231200222020021. The reversal of 231200222020020 is 20020222002132.

231200222020020 is a `hidden beast` number, since 23 + 1 + 200 + 2 + 220 + 200 + 20 = 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 = 231200222019975 and 231200222020002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231200222020021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 115657938981 + ... + 115657940979.

It is an arithmetic number, because the mean of its divisors is an integer number (1342701360000).

Almost surely, 2231200222020020 is an apocalyptic number.

231200222020020 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 231200222020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386697991680000).

231200222020020 is an abundant number, since it is smaller than the sum of its proper divisors (542195761339980).

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

231200222020020 is a wasteful number, since it uses less digits than its factorization.

231200222020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3468 (or 3463 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 231200222020020 its reverse (20020222002132), we get a palindrome (251220444022152).

The spelling of 231200222020020 in words is "two hundred thirty-one trillion, two hundred billion, two hundred twenty-two million, twenty thousand, twenty".