Search a number
-
+
211135054102533 = 32119319228852593
BaseRepresentation
bin110000000000011010110101…
…111001100100000000000101
31000200120022110221101222210100
4300000122311321210000011
5210133214042322240113
62025014034351114313
762321001315445251
oct6000326571440005
91020508427358710
10211135054102533
1161301967841430
121b81b47a512999
1390a6c476a9b72
143a1cdc39ab261
15196219214dd73
hexc006b5e64005

211135054102533 has 24 divisors (see below), whose sum is σ = 332733363468480. Its totient is φ = 127946907135360.

The previous prime is 211135054102451. The next prime is 211135054102541. The reversal of 211135054102533 is 335201450531112.

It is a happy number.

211135054102533 is a `hidden beast` number, since 2 + 1 + 1 + 1 + 350 + 54 + 1 + 0 + 253 + 3 = 666.

It is not a de Polignac number, because 211135054102533 - 217 = 211135053971461 is a prime.

It is a super-2 number, since 2×2111350541025332 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211135054102633) 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 23 ways as a sum of consecutive naturals, for example, 113503716 + ... + 115348877.

It is an arithmetic number, because the mean of its divisors is an integer number (13863890144520).

Almost surely, 2211135054102533 is an apocalyptic number.

It is an amenable number.

211135054102533 is a deficient number, since it is larger than the sum of its proper divisors (121598309365947).

211135054102533 is a wasteful number, since it uses less digits than its factorization.

211135054102533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228861929 (or 228861926 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 211135054102533 in words is "two hundred eleven trillion, one hundred thirty-five billion, fifty-four million, one hundred two thousand, five hundred thirty-three".

Divisors: 1 3 9 11 33 99 9319 27957 83871 102509 307527 922581 228852593 686557779 2059673337 2517378523 7552135569 22656406707 2132677314167 6398031942501 19194095827503 23459450455837 70378351367511 211135054102533