Search a number
-
+
211133212013223 = 32177467132189341
BaseRepresentation
bin110000000000011001001000…
…000110100011001010100111
31000200120010201120012011022100
4300000121020012203022213
5210133201304233410343
62025013131504503143
762320604550111423
oct6000311006431247
91020503646164270
10211133212013223
1161301101a4a475
121b81b04561aab3
1390a6a12b712a6
143a1cc8b099b83
1519620d557e9d3
hexc006481a32a7

211133212013223 has 12 divisors (see below), whose sum is σ = 304971915898728. Its totient is φ = 140754680474640.

The previous prime is 211133212013167. The next prime is 211133212013257. The reversal of 211133212013223 is 322310212331112.

211133212013223 is a `hidden beast` number, since 2 + 1 + 1 + 1 + 332 + 1 + 2 + 0 + 1 + 322 + 3 = 666.

It is not a de Polignac number, because 211133212013223 - 228 = 211132943577767 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211133212013293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64497468 + ... + 67691873.

It is an arithmetic number, because the mean of its divisors is an integer number (25414326324894).

Almost surely, 2211133212013223 is an apocalyptic number.

211133212013223 is a deficient number, since it is larger than the sum of its proper divisors (93838703885505).

211133212013223 is a wasteful number, since it uses less digits than its factorization.

211133212013223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132366814 (or 132366811 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 211133212013223 its reverse (322310212331112), we get a palindrome (533443424344335).

The spelling of 211133212013223 in words is "two hundred eleven trillion, one hundred thirty-three billion, two hundred twelve million, thirteen thousand, two hundred twenty-three".

Divisors: 1 3 9 177467 532401 1597203 132189341 396568023 1189704069 23459245779247 70377737337741 211133212013223