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210120112202022 = 2321137229452327691
BaseRepresentation
bin101111110001101001100110…
…101001011110000100100110
31000112222021201220011101010200
4233301221212221132010212
5210020101442210431042
62022515502535531330
762154451154600121
oct5761514651360446
91015867656141120
10210120112202022
1160a50491577530
121b696828529b46
13903231a928199
1439c5c20d453b8
151945a8dc4cc4c
hexbf1a66a5e126

210120112202022 has 192 divisors, whose sum is σ = 512429595874560. Its totient is φ = 61665479366400.

The previous prime is 210120112201927. The next prime is 210120112202041. The reversal of 210120112202022 is 220202211021012.

It is a happy number.

210120112202022 is a `hidden beast` number, since 210 + 1 + 20 + 11 + 220 + 202 + 2 = 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 = 210120112201986 and 210120112202004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7588015197 + ... + 7588042887.

It is an arithmetic number, because the mean of its divisors is an integer number (2668904145180).

Almost surely, 2210120112202022 is an apocalyptic number.

210120112202022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 210120112202022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256214797937280).

210120112202022 is an abundant number, since it is smaller than the sum of its proper divisors (302309483672538).

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

210120112202022 is a wasteful number, since it uses less digits than its factorization.

210120112202022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32499 (or 32496 counting only the distinct ones).

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

Adding to 210120112202022 its reverse (220202211021012), we get a palindrome (430322323223034).

The spelling of 210120112202022 in words is "two hundred ten trillion, one hundred twenty billion, one hundred twelve million, two hundred two thousand, twenty-two".