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211200012101211 = 3723094355627299
BaseRepresentation
bin110000000001010111010101…
…101100101010011001011011
31000200210112010222100020010020
4300001113111230222121123
5210140300111044214321
62025103540210321523
762325461120355510
oct6001272554523133
91020715128306106
10211200012101211
1161327470949261
121b82bb888892a3
1390b00ca37b183
143a221c6b0b307
151963be4cad4c6
hexc015d5b2a65b

211200012101211 has 16 divisors (see below), whose sum is σ = 321967970016000. Its totient is φ = 120633453645408.

The previous prime is 211200012101209. The next prime is 211200012101261. The reversal of 211200012101211 is 112101210002112.

It is a happy number.

It is not a de Polignac number, because 211200012101211 - 21 = 211200012101209 is a prime.

It is a super-2 number, since 2×2112000121012112 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211200012101201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2177765161 + ... + 2177862138.

It is an arithmetic number, because the mean of its divisors is an integer number (20122998126000).

Almost surely, 2211200012101211 is an apocalyptic number.

211200012101211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

211200012101211 is a deficient number, since it is larger than the sum of its proper divisors (110767957914789).

211200012101211 is a wasteful number, since it uses less digits than its factorization.

211200012101211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4355629618.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 211200012101211 its reverse (112101210002112), we get a palindrome (323301222103323).

The spelling of 211200012101211 in words is "two hundred eleven trillion, two hundred billion, twelve million, one hundred one thousand, two hundred eleven".

Divisors: 1 3 7 21 2309 6927 16163 48489 4355627299 13066881897 30489391093 91468173279 10057143433391 30171430300173 70400004033737 211200012101211