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211200002122011 = 372191271597372833
BaseRepresentation
bin110000000001010111010101…
…000110100110000100011011
31000200210112010021120020020020
4300001113111012212010123
5210140300101020401021
62025103535212401523
762325460636503600
oct6001272506460433
91020715107506206
10211200002122011
1161327466252791
121b82bb854762a3
1390b00c8295c16
143a221c56706a7
151963be3e8b7c6
hexc015d51a611b

211200002122011 has 96 divisors (see below), whose sum is σ = 347749967093760. Its totient is φ = 113362236094464.

The previous prime is 211200002122009. The next prime is 211200002122063. The reversal of 211200002122011 is 110221200002112.

It is not a de Polignac number, because 211200002122011 - 21 = 211200002122009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211200002122001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 566287051 + ... + 566659883.

It is an arithmetic number, because the mean of its divisors is an integer number (3622395490560).

Almost surely, 2211200002122011 is an apocalyptic number.

211200002122011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

211200002122011 is a deficient number, since it is larger than the sum of its proper divisors (136549964971749).

211200002122011 is a wasteful number, since it uses less digits than its factorization.

211200002122011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374593 (or 374586 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 211200002122011 its reverse (110221200002112), we get a palindrome (321421202124123).

The spelling of 211200002122011 in words is "two hundred eleven trillion, two hundred billion, two million, one hundred twenty-two thousand, eleven".

Divisors: 1 3 7 19 21 49 57 127 133 147 381 399 889 931 1597 2413 2667 2793 4791 6223 7239 11179 16891 18669 30343 33537 50673 78253 91029 118237 202819 212401 234759 354711 372833 608457 637203 1118499 1419733 1486807 2609831 3853561 4259199 4460421 7083827 7829493 9938131 11560683 18268817 21251481 26974927 29814393 47349791 49586789 54806451 80924781 142049373 148760367 188824489 331448537 347107523 566473467 595414301 899646029 994345611 1041322569 1786242903 2320139759 2698938087 4167900107 6297522203 6960419277 11312871719 12503700321 18892566609 29175300749 33938615157 44082655421 75617616227 79190102033 87525902247 132247966263 226852848681 237570306099 529323313589 554330714231 1436734708313 1587969940767 1662992142693 3705263195123 4310204124939 10057142958191 11115789585369 30171428874573 70400000707337 211200002122011