Search a number
-
+
212224200111 = 32711477191771
BaseRepresentation
bin1100010110100110001…
…1000100110110101111
3202021210021021101120200
43011221203010312233
511434113343400421
6241254445044543
721222053636250
oct3055143046657
9667707241520
10212224200111
1182005034720
1235169556753
1317021a62091
14a3b37c0b27
1557c172e726
hex31698c4daf

212224200111 has 96 divisors (see below), whose sum is σ = 395820711936. Its totient is φ = 106379784000.

The previous prime is 212224200091. The next prime is 212224200127. The reversal of 212224200111 is 111002422212.

212224200111 is a `hidden beast` number, since 21 + 222 + 420 + 0 + 1 + 1 + 1 = 666.

It is not a de Polignac number, because 212224200111 - 229 = 211687329199 is a prime.

It is a super-2 number, since 2×2122242001112 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212024200111) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2266656 + ... + 2358426.

It is an arithmetic number, because the mean of its divisors is an integer number (4123132416).

Almost surely, 2212224200111 is an apocalyptic number.

212224200111 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

212224200111 is a deficient number, since it is larger than the sum of its proper divisors (183596511825).

212224200111 is a wasteful number, since it uses less digits than its factorization.

212224200111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91913 (or 91910 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212224200111 its reverse (111002422212), we get a palindrome (323226622323).

The spelling of 212224200111 in words is "two hundred twelve billion, two hundred twenty-four million, two hundred thousand, one hundred eleven".

Divisors: 1 3 7 9 11 21 33 47 63 71 77 99 141 213 231 329 423 497 517 639 693 781 987 1491 1551 2343 2961 3337 3619 4473 4653 5467 7029 10011 10857 16401 23359 30033 32571 36707 49203 70077 91771 110121 210231 256949 275313 330363 642397 770847 825939 1009481 1927191 2312541 3028443 4313237 5781573 6515741 7066367 9085329 12939711 19547223 21199101 30192659 38819133 45610187 47445607 58641669 63597303 71673151 90577977 136830561 142336821 215019453 271733931 306239827 332119249 410491683 427010463 501712057 645058359 918719481 996357747 1505136171 2143678789 2756158443 2989073241 3368638097 4515408513 6431036367 10105914291 19293109101 23580466679 30317742873 70741400037 212224200111