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210122021200221 = 321314821121173653
BaseRepresentation
bin101111110001101011011000…
…011011101110000101011101
31000112222110122221021112100200
4233301223120123232011131
5210020114344411401341
62022520420212214113
762154546365034414
oct5761533033560535
91015873587245320
10210122021200221
1160a51281109099
121b69707b90a339
13903256328c610
1439c5d626b247b
151945b51636db6
hexbf1ad86ee15d

210122021200221 has 24 divisors (see below), whose sum is σ = 326878533725016. Its totient is φ = 129297133630080.

The previous prime is 210122021200211. The next prime is 210122021200241. The reversal of 210122021200221 is 122002120221012.

It is a happy number.

210122021200221 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 220 + 21 + 200 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32295795677721 + 177826225522500 = 5682939^2 + 13335150^2 .

It is not a de Polignac number, because 210122021200221 - 27 = 210122021200093 is a prime.

It is a super-2 number, since 2×2101220212002212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 210122021200194 and 210122021200203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210122021200211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58852770 + ... + 62320883.

It is an arithmetic number, because the mean of its divisors is an integer number (13619938905209).

Almost surely, 2210122021200221 is an apocalyptic number.

It is an amenable number.

210122021200221 is a deficient number, since it is larger than the sum of its proper divisors (116756512524795).

210122021200221 is a wasteful number, since it uses less digits than its factorization.

210122021200221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121188493 (or 121188490 counting only the distinct ones).

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

Adding to 210122021200221 its reverse (122002120221012), we get a palindrome (332124141421233).

The spelling of 210122021200221 in words is "two hundred ten trillion, one hundred twenty-two billion, twenty-one million, two hundred thousand, two hundred twenty-one".

Divisors: 1 3 9 13 39 117 14821 44463 133389 192673 578019 1734057 121173653 363520959 1090562877 1575257489 4725772467 14177317401 1795914711113 5387744133339 16163232400017 23346891244469 70040673733407 210122021200221