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22111212121011 = 32131922214478417
BaseRepresentation
bin1010000011100001010101…
…11100011010101110110011
32220021210220101112110102200
411001300222330122232303
510344232230300333021
6115005430044514243
74441324306660626
oct501605274325663
986253811473380
1022111212121011
117055348893432
12259137424b983
13c451031c1570
1456628cc97dbd
1528526b58d126
hex141c2af1abb3

22111212121011 has 48 divisors (see below), whose sum is σ = 36221803057440. Its totient is φ = 12884940241920.

The previous prime is 22111212120961. The next prime is 22111212121069. The reversal of 22111212121011 is 11012121211122.

It is a happy number.

22111212121011 is a `hidden beast` number, since 221 + 11 + 212 + 1 + 210 + 11 = 666.

It is not a de Polignac number, because 22111212121011 - 26 = 22111212120947 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22111212121111) 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 47 ways as a sum of consecutive naturals, for example, 2698075 + ... + 7176491.

It is an arithmetic number, because the mean of its divisors is an integer number (754620897030).

Almost surely, 222111212121011 is an apocalyptic number.

22111212121011 is a deficient number, since it is larger than the sum of its proper divisors (14110590936429).

22111212121011 is a wasteful number, since it uses less digits than its factorization.

22111212121011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4480676 (or 4480673 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 22111212121011 its reverse (11012121211122), we get a palindrome (33123333332133).

The spelling of 22111212121011 in words is "twenty-two trillion, one hundred eleven billion, two hundred twelve million, one hundred twenty-one thousand, eleven".

Divisors: 1 3 9 13 19 39 57 117 171 247 741 2221 2223 6663 19989 28873 42199 86619 126597 259857 379791 548587 1645761 4478417 4937283 13435251 40305753 58219421 85089923 174658263 255269769 523974789 765809307 1106168999 3318506997 9946564157 9955520991 29839692471 89519077413 129305334041 188984718983 387916002123 566954156949 1163748006369 1700862470847 2456801346779 7370404040337 22111212121011