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212211012002022 = 234112926361325471
BaseRepresentation
bin110000010000000100111001…
…111111001110000011100110
31000211101011201022000111210000
4300100010321333032003212
5210303331123033031042
62031200220523042130
762461511463625305
oct6020047177160346
91024334638014700
10212211012002022
1161687203a44470
121b973aba670346
139154549538157
143a590d3dda43c
15198016709474c
hexc10139fce0e6

212211012002022 has 320 divisors, whose sum is σ = 539565868892160. Its totient is φ = 61749500601600.

The previous prime is 212211012002021. The next prime is 212211012002023. The reversal of 212211012002022 is 220200210112212.

It is a happy number.

212211012002022 is a `hidden beast` number, since 212 + 211 + 0 + 1 + 200 + 20 + 22 = 666.

It is an interprime number because it is at equal distance from previous prime (212211012002021) and next prime (212211012002023).

It is a super-2 number, since 2×2122110120020222 (a number of 29 digits) contains 22 as substring.

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 = 212211012001986 and 212211012002004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212211012002021) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8331462747 + ... + 8331488217.

It is an arithmetic number, because the mean of its divisors is an integer number (1686143340288).

Almost surely, 2212211012002022 is an apocalyptic number.

212211012002022 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 212211012002022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269782934446080).

212211012002022 is an abundant number, since it is smaller than the sum of its proper divisors (327354856890138).

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

212211012002022 is a wasteful number, since it uses less digits than its factorization.

212211012002022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26401 (or 26392 counting only the distinct ones).

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

Adding to 212211012002022 its reverse (220200210112212), we get a palindrome (432411222114234).

The spelling of 212211012002022 in words is "two hundred twelve trillion, two hundred eleven billion, twelve million, two thousand, twenty-two".