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210012121022220 = 2232511283811114323
BaseRepresentation
bin101111110000000101000001…
…110111110011111100001100
31000112120221222210201001000200
4233300011001313303330030
5210011314310440202340
62022354123030053500
762143606064655246
oct5760050167637414
91015527883631020
10210012121022220
1160a09705348800
121b67990a4aa290
13902509a6731aa
1439c08d8875096
151942d6d1ab330
hexbf0141df3f0c

210012121022220 has 432 divisors, whose sum is σ = 708787131526656. Its totient is φ = 50288918803200.

The previous prime is 210012121022201. The next prime is 210012121022273. The reversal of 210012121022220 is 22220121210012.

It is a happy number.

210012121022220 is a `hidden beast` number, since 210 + 0 + 1 + 2 + 1 + 210 + 22 + 220 = 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 = 210012121022193 and 210012121022202.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14662571979 + ... + 14662586301.

It is an arithmetic number, because the mean of its divisors is an integer number (1640710952608).

Almost surely, 2210012121022220 is an apocalyptic number.

210012121022220 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 210012121022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354393565763328).

210012121022220 is an abundant number, since it is smaller than the sum of its proper divisors (498775010504436).

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

210012121022220 is a wasteful number, since it uses less digits than its factorization.

210012121022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22554 (or 22538 counting only the distinct ones).

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

Adding to 210012121022220 its reverse (22220121210012), we get a palindrome (232232242232232).

The spelling of 210012121022220 in words is "two hundred ten trillion, twelve billion, one hundred twenty-one million, twenty-two thousand, two hundred twenty".