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22101320212011 = 32374313271163147
BaseRepresentation
bin1010000011001110111010…
…10101110001111000101011
32220020212101000011102021200
411001213131111301320223
510344102000433241021
6115001112322535243
74440524214100035
oct501473525617053
986225330142250
1022101320212011
117051132096827
12258b473507523
13c441b7a1b581
145659d1230c55
15284d8ce32126
hex1419dd571e2b

22101320212011 has 48 divisors (see below), whose sum is σ = 33574741584384. Its totient is φ = 13992032238912.

The previous prime is 22101320212009. The next prime is 22101320212031. The reversal of 22101320212011 is 11021202310122.

22101320212011 is a `hidden beast` number, since 2 + 210 + 1 + 320 + 2 + 120 + 11 = 666.

It is not a de Polignac number, because 22101320212011 - 21 = 22101320212009 is a prime.

It is a super-2 number, since 2×221013202120112 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22101320212031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18419740 + ... + 19582886.

It is an arithmetic number, because the mean of its divisors is an integer number (699473783008).

Almost surely, 222101320212011 is an apocalyptic number.

22101320212011 is a deficient number, since it is larger than the sum of its proper divisors (11473421372373).

22101320212011 is a wasteful number, since it uses less digits than its factorization.

22101320212011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164560 (or 1164557 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 22101320212011 its reverse (11021202310122), we get a palindrome (33122522522133).

The spelling of 22101320212011 in words is "twenty-two trillion, one hundred one billion, three hundred twenty million, two hundred twelve thousand, eleven".

Divisors: 1 3 9 37 43 111 129 333 387 1327 1591 3981 4773 11943 14319 49099 57061 147297 171183 441891 513549 1163147 2111257 3489441 6333771 10468323 19001313 43036439 50015321 129109317 150045963 387327951 450137889 1543496069 1850566877 4630488207 5551700631 13891464621 16655101893 57109354553 66370330967 171328063659 199110992901 513984190977 597332978703 2455702245779 7367106737337 22101320212011