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211011022100021 = 111310735938414119
BaseRepresentation
bin101111111110100111010101…
…000001000001011000110101
31000200010110022221022102122112
4233332213111001001120311
5210124201033124200041
62024441043022540405
762306020560020423
oct5776472501013065
91020113287272575
10211011022100021
11612642a9a25130
121b7bb424437705
13909833c0777c0
143a16db8d80113
15195dd33200deb
hexbfe9d5041635

211011022100021 has 32 divisors (see below), whose sum is σ = 250914885580800. Its totient is φ = 174928673983680.

The previous prime is 211011022100009. The next prime is 211011022100023. The reversal of 211011022100021 is 120001220110112.

It is a cyclic number.

It is not a de Polignac number, because 211011022100021 - 226 = 211010954991157 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211011022099969 and 211011022100005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211011022100023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13714001 + ... + 24700118.

It is an arithmetic number, because the mean of its divisors is an integer number (7841090174400).

Almost surely, 2211011022100021 is an apocalyptic number.

It is an amenable number.

211011022100021 is a deficient number, since it is larger than the sum of its proper divisors (39903863480779).

211011022100021 is a wasteful number, since it uses less digits than its factorization.

211011022100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38414609.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211011022100021 its reverse (120001220110112), we get a palindrome (331012242210133).

The spelling of 211011022100021 in words is "two hundred eleven trillion, eleven billion, twenty-two million, one hundred thousand, twenty-one".

Divisors: 1 11 13 107 143 359 1177 1391 3949 4667 15301 38413 51337 422543 499369 5493059 38414119 422555309 499383547 4110310733 5493219017 13790668721 45213418063 53434039529 151697355931 179278693373 587774434819 1475601553147 1972065627103 16231617084617 19182820190911 211011022100021