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210122312000211 = 32133157932812793
BaseRepresentation
bin101111110001101011101001…
…110001000010001011010011
31000112222111102012110200221200
4233301223221301002023103
5210020120443333001321
62022520505121122243
762154556525555662
oct5761535161021323
91015874365420850
10210122312000211
1160a51410279466
121b697141189383
1390325ab5b8a10
1439c5d8d16cdd9
151945b6be29d26
hexbf1ae9c422d3

210122312000211 has 24 divisors (see below), whose sum is σ = 337400701712256. Its totient is φ = 125134875630720.

The previous prime is 210122312000201. The next prime is 210122312000297. The reversal of 210122312000211 is 112000213221012.

210122312000211 is a `hidden beast` number, since 2 + 10 + 12 + 231 + 200 + 0 + 211 = 666.

It is not a de Polignac number, because 210122312000211 - 26 = 210122312000147 is a prime.

It is not an unprimeable number, because it can be changed into a prime (210122312000201) 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, 28966402770 + ... + 28966410023.

It is an arithmetic number, because the mean of its divisors is an integer number (14058362571344).

Almost surely, 2210122312000211 is an apocalyptic number.

210122312000211 is a deficient number, since it is larger than the sum of its proper divisors (127278389712045).

210122312000211 is a wasteful number, since it uses less digits than its factorization.

210122312000211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57932812843 (or 57932812840 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 210122312000211 its reverse (112000213221012), we get a palindrome (322122525221223).

The spelling of 210122312000211 in words is "two hundred ten trillion, one hundred twenty-two billion, three hundred twelve million, two hundred eleven", and thus it is an aban number.

Divisors: 1 3 9 13 31 39 93 117 279 403 1209 3627 57932812793 173798438379 521395315137 753126566309 1795917196583 2259379698927 5387751589749 6778139096781 16163254769247 23346923555579 70040770666737 210122312000211