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210122020221012 = 223273137583613917
BaseRepresentation
bin101111110001101011011000…
…010111111111000001010100
31000112222110122212102210010200
4233301223120113333001110
5210020114344134033022
62022520420135220500
762154546353515524
oct5761533027770124
91015873585383120
10210122020221012
1160a512805aa429
121b69707b517730
1390325630089c3
1439c5d624d9684
151945b514e1bac
hexbf1ad85ff054

210122020221012 has 72 divisors (see below), whose sum is σ = 542347745086056. Its totient is φ = 68576969585664.

The previous prime is 210122020220969. The next prime is 210122020221023.

It is a happy number.

210122020221012 is a `hidden beast` number, since 21 + 0 + 1 + 220 + 202 + 210 + 12 = 666.

210122020221012 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 86790911674896 + 123331108546116 = 9316164^2 + 11105454^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 291446923 + ... + 292166994.

Almost surely, 2210122020221012 is an apocalyptic number.

It is an amenable number.

210122020221012 is an abundant number, since it is smaller than the sum of its proper divisors (332225724865044).

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

210122020221012 is a wasteful number, since it uses less digits than its factorization.

210122020221012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583614137 (or 583614132 counting only the distinct ones).

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

The spelling of 210122020221012 in words is "two hundred ten trillion, one hundred twenty-two billion, twenty million, two hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 73 137 146 219 274 292 411 438 548 657 822 876 1233 1314 1644 2466 2628 4932 10001 20002 30003 40004 60006 90009 120012 180018 360036 583613917 1167227834 1750841751 2334455668 3501683502 5252525253 7003367004 10505050506 21010101012 42603815941 79955106629 85207631882 127811447823 159910213258 170415263764 239865319887 255622895646 319820426516 383434343469 479730639774 511245791292 719595959661 766868686938 959461279548 1439191919322 1533737373876 2878383838644 5836722783917 11673445567834 17510168351751 23346891135668 35020336703502 52530505055253 70040673407004 105061010110506 210122020221012