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210222112120020 = 22325711131166733889
BaseRepresentation
bin101111110011001000100110…
…010100010001110011010100
31000120100001000110000002010100
4233303020212110101303110
5210023234341200320040
62023034412144054100
762165021624566260
oct5763104624216324
91016301013002110
10210222112120020
1160a8a7738a3620
121b6b2554004330
13903bb24883850
1439cab3983d0a0
15194855d830b30
hexbf3226511cd4

210222112120020 has 288 divisors, whose sum is σ = 856177330095360. Its totient is φ = 40322323169280.

The previous prime is 210222112119997. The next prime is 210222112120021. The reversal of 210222112120020 is 20021211222012.

It is a happy number.

210222112120020 is a `hidden beast` number, since 2 + 102 + 221 + 121 + 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 = 210222112119975 and 210222112120002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210222112120021) 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 95 ways as a sum of consecutive naturals, for example, 583186765 + ... + 583547124.

It is an arithmetic number, because the mean of its divisors is an integer number (2972837951720).

Almost surely, 2210222112120020 is an apocalyptic number.

210222112120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210222112120020 is an abundant number, since it is smaller than the sum of its proper divisors (645955217975340).

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

210222112120020 is a wasteful number, since it uses less digits than its factorization.

210222112120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166733935 (or 1166733930 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 210222112120020 its reverse (20021211222012), we get a palindrome (230243323342032).

It can be divided in two parts, 2102221 and 12120020, that added together give a palindrome (14222241).

The spelling of 210222112120020 in words is "two hundred ten trillion, two hundred twenty-two billion, one hundred twelve million, one hundred twenty thousand, twenty".