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211221100203213 = 31731287449464777
BaseRepresentation
bin110000000001101010111110…
…101001011000110011001101
31000200212112120122022210201010
4300001222332221120303031
5210141121303123000323
62025121344525435433
762330135524312452
oct6001527651306315
91020775518283633
10211221100203213
11613354025a6431
121b83409310bb79
1390b20ab2cc039
143a23227715829
15196452b30ec93
hexc01abea58ccd

211221100203213 has 32 divisors (see below), whose sum is σ = 307815404774400. Its totient is φ = 128254974382080.

The previous prime is 211221100203199. The next prime is 211221100203229. The reversal of 211221100203213 is 312302001122112.

It is not a de Polignac number, because 211221100203213 - 25 = 211221100203181 is a prime.

It is a super-2 number, since 2×2112211002032132 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211221100203213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211221100207213) 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 31 ways as a sum of consecutive naturals, for example, 454224481 + ... + 454689257.

It is an arithmetic number, because the mean of its divisors is an integer number (9619231399200).

Almost surely, 2211221100203213 is an apocalyptic number.

It is an amenable number.

211221100203213 is a deficient number, since it is larger than the sum of its proper divisors (96594304571187).

211221100203213 is a wasteful number, since it uses less digits than its factorization.

211221100203213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752277.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 211221100203213 its reverse (312302001122112), we get a palindrome (523523101325325).

The spelling of 211221100203213 in words is "two hundred eleven trillion, two hundred twenty-one billion, one hundred million, two hundred three thousand, two hundred thirteen".

Divisors: 1 3 17 31 51 93 527 1581 287449 464777 862347 1394331 4886633 7901209 8910919 14408087 14659899 23703627 26732757 43224261 151485623 244937479 454456869 734812437 133599683873 400799051619 2271194625841 4141590200063 6813583877523 12424770600189 70407033401071 211221100203213