Search a number
-
+
212222122222011 = 3111015032251663
BaseRepresentation
bin110000010000001111010000…
…001101010110000110111011
31000211102020101120212011102020
4300100033100031112012323
5210304021401242101021
62031205255205405523
762462354012140236
oct6020172015260673
91024366346764366
10212222122222011
1161690995414160
121b97609b4098a3
1391555ca244015
143a5986979c41d
1519805b76567c6
hexc103d03561bb

212222122222011 has 48 divisors (see below), whose sum is σ = 312365268214272. Its totient is φ = 127092329944000.

The previous prime is 212222122221913. The next prime is 212222122222027. The reversal of 212222122222011 is 110222221222212.

It is a happy number.

It is not a de Polignac number, because 212222122222011 - 223 = 212222113833403 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212222122222051) 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, 843153166 + ... + 843404828.

It is an arithmetic number, because the mean of its divisors is an integer number (6507609754464).

Almost surely, 2212222122222011 is an apocalyptic number.

212222122222011 is a deficient number, since it is larger than the sum of its proper divisors (100143145992261).

212222122222011 is a wasteful number, since it uses less digits than its factorization.

212222122222011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252784 (or 252281 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 212222122222011 its reverse (110222221222212), we get a palindrome (322444343444223).

The spelling of 212222122222011 in words is "two hundred twelve trillion, two hundred twenty-two billion, one hundred twenty-two million, two hundred twenty-two thousand, eleven".

Divisors: 1 3 11 33 101 303 503 1111 1509 3333 5533 16599 50803 152409 251663 253009 558833 754989 759027 1676499 2768293 2783099 8304879 8349297 25417963 25553909 76253889 76661727 126586489 279597593 281092999 379759467 838792779 843278997 1392451379 4177354137 12785235389 38355706167 63673003967 140637589279 191019011901 421912767837 700403043637 2101209130911 6430973400667 19292920202001 70740707407337 212222122222011