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11122010211221 = 74132161316993
BaseRepresentation
bin1010000111011000101101…
…1101111100001110010101
31110101020212000101121012022
42201312023131330032111
52424210334103224341
635353214141502525
72225352531650000
oct241661335741625
943336760347168
1011122010211221
1135a88aa8a5518
1212b762a871a45
13628a54c1c500
142a6445874537
15144497d8ce4b
hexa1d8b77c395

11122010211221 has 60 divisors (see below), whose sum is σ = 14059288500228. Its totient is φ = 8793859156992.

The previous prime is 11122010211197. The next prime is 11122010211281. The reversal of 11122010211221 is 12211201022111.

It can be written as a sum of positive squares in 6 ways, for example, as 2834808648721 + 8287201562500 = 1683689^2 + 2878750^2 .

It is a de Polignac number, because none of the positive numbers 2k-11122010211221 is a prime.

It is a super-2 number, since 2×111220102112212 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 11122010211221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11122010211281) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 654496901 + ... + 654513893.

Almost surely, 211122010211221 is an apocalyptic number.

It is an amenable number.

11122010211221 is a deficient number, since it is larger than the sum of its proper divisors (2937278289007).

11122010211221 is an equidigital number, since it uses as much as digits as its factorization.

11122010211221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18660 (or 18626 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 11122010211221 its reverse (12211201022111), we get a palindrome (23333211233332).

The spelling of 11122010211221 in words is "eleven trillion, one hundred twenty-two billion, ten million, two hundred eleven thousand, two hundred twenty-one".

Divisors: 1 7 13 49 91 169 343 637 1183 1613 2401 4459 8281 11291 16993 20969 31213 57967 79037 118951 146783 220909 272597 405769 553259 832657 1027481 1546363 1908179 2871817 3872813 5828599 7192367 10824541 13357253 20102719 27409709 40800193 50346569 75771787 93500771 140719033 191867963 356326217 530402509 654505397 985033231 1343075741 2494283519 4632240821 6895232617 9401530187 17459984633 32425685747 65810711309 122219892431 226979800229 855539247017 1588858601603 11122010211221