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211222111113 = 32132353393401
BaseRepresentation
bin1100010010110111010…
…0011010001110001001
3202012012102122222220100
43010231310122032021
511430040330023423
6241011210520013
721155165215056
oct3045564321611
9665172588810
10211222111113
11816404143a2
1234b29a36009
1316bc2273100
14a31a68c02d
155763789343
hex312dd1a389

211222111113 has 36 divisors (see below), whose sum is σ = 331309788732. Its totient is φ = 129614284800.

The previous prime is 211222111033. The next prime is 211222111151. The reversal of 211222111113 is 311111222112.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 86805069129 + 124417041984 = 294627^2 + 352728^2 .

It is not a de Polignac number, because 211222111113 - 230 = 210148369289 is a prime.

It is a super-2 number, since 2×2112221111132 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211222111153) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 340213 + ... + 733613.

It is an arithmetic number, because the mean of its divisors is an integer number (9203049687).

Almost surely, 2211222111113 is an apocalyptic number.

It is an amenable number.

211222111113 is a deficient number, since it is larger than the sum of its proper divisors (120087677619).

211222111113 is a wasteful number, since it uses less digits than its factorization.

211222111113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393786 (or 393770 counting only the distinct ones).

The product of its digits is 48, while the sum is 18.

Adding to 211222111113 its reverse (311111222112), we get a palindrome (522333333225).

The spelling of 211222111113 in words is "two hundred eleven billion, two hundred twenty-two million, one hundred eleven thousand, one hundred thirteen".

Divisors: 1 3 9 13 39 117 169 353 507 1059 1521 3177 4589 13767 41301 59657 178971 393401 536913 1180203 3540609 5114213 15342639 46027917 66484769 138870553 199454307 416611659 598362921 1249834977 1805317189 5415951567 16247854701 23469123457 70407370371 211222111113