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2220212122011 = 331341971590493
BaseRepresentation
bin100000010011101110111…
…101000111000110011011
321212020202101210201102000
4200103232331013012123
5242333443300401021
64415541255012043
7316255632441342
oct40235675070633
97766671721360
102220212122011
1178664a953454
122ba36066a023
1313149919ab50
147965d0b2b59
153cb45b1db26
hex204eef4719b

2220212122011 has 64 divisors (see below), whose sum is σ = 3666025050240. Its totient is φ = 1319217684480.

The previous prime is 2220212121983. The next prime is 2220212122019. The reversal of 2220212122011 is 1102212120222.

It is a happy number.

2220212122011 is a `hidden beast` number, since 2 + 220 + 212 + 1 + 220 + 11 = 666.

It is not a de Polignac number, because 2220212122011 - 29 = 2220212121499 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2220212122019) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 600681 + ... + 2191173.

It is an arithmetic number, because the mean of its divisors is an integer number (57281641410).

Almost surely, 22220212122011 is an apocalyptic number.

2220212122011 is a deficient number, since it is larger than the sum of its proper divisors (1445812928229).

2220212122011 is a wasteful number, since it uses less digits than its factorization.

2220212122011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1590653 (or 1590647 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2220212122011 its reverse (1102212120222), we get a palindrome (3322424242233).

The spelling of 2220212122011 in words is "two trillion, two hundred twenty billion, two hundred twelve million, one hundred twenty-two thousand, eleven".

Divisors: 1 3 9 13 27 39 41 97 117 123 291 351 369 533 873 1107 1261 1599 2619 3783 3977 4797 11349 11931 14391 34047 35793 51701 107379 155103 465309 1395927 1590493 4771479 14314437 20676409 42943311 62029227 65210213 154277821 186087681 195630639 462833463 558263043 586891917 847732769 1388500389 1760675751 2005611673 2543198307 4165501167 6016835019 6325390661 7629594921 18050505057 18976171983 22888784763 54151515171 56928515949 82230078593 170785547847 246690235779 740070707337 2220212122011