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210122002022120 = 23512817340984061
BaseRepresentation
bin101111110001101011010111…
…010010100011111011101000
31000112222110121121012011221122
4233301223113102203323220
5210020114330004201440
62022520414245154412
762154546043030526
oct5761532722437350
91015873547164848
10210122002022120
1160a512712aa321
121b6970753bba08
13903255c306326
1439c5d5dd1d316
151945b4eae97b5
hexbf1ad74a3ee8

210122002022120 has 32 divisors (see below), whose sum is σ = 472778204650920. Its totient is φ = 84048143013120.

The previous prime is 210122002022099. The next prime is 210122002022129. The reversal of 210122002022120 is 21220200221012.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 204492116405476 + 5629885616644 = 14300074^2 + 2372738^2 .

It is not an unprimeable number, because it can be changed into a prime (210122002022129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15365111 + ... + 25618950.

Almost surely, 2210122002022120 is an apocalyptic number.

210122002022120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210122002022120 is an abundant number, since it is smaller than the sum of its proper divisors (262656202628800).

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

210122002022120 is a wasteful number, since it uses less digits than its factorization.

210122002022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41112245 (or 41112241 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 210122002022120 its reverse (21220200221012), we get a palindrome (231342202243132).

The spelling of 210122002022120 in words is "two hundred ten trillion, one hundred twenty-two billion, two million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 128173 256346 512692 640865 1025384 1281730 2563460 5126920 40984061 81968122 163936244 204920305 327872488 409840610 819681220 1639362440 5253050050553 10506100101106 21012200202212 26265250252765 42024400404424 52530500505530 105061001011060 210122002022120