Search a number
-
+
2116055061 = 321913039497
BaseRepresentation
bin111111000100000…
…0111000000010101
312110110201201211200
41332020013000111
513313202230221
6545550223113
7103303112511
oct17610070025
95413651750
102116055061
1199650453a
124b07b4a99
1327951c7b3
14161069141
15c5b89426
hex7e207015

2116055061 has 24 divisors (see below), whose sum is σ = 3220201920. Its totient is φ = 1335289536.

The previous prime is 2116055057. The next prime is 2116055089. The reversal of 2116055061 is 1605506112.

It is a happy number.

2116055061 is a `hidden beast` number, since 2 + 1 + 1 + 605 + 50 + 6 + 1 = 666.

It is not a de Polignac number, because 2116055061 - 22 = 2116055057 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2116057061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218065 + ... + 227561.

It is an arithmetic number, because the mean of its divisors is an integer number (134175080).

Almost surely, 22116055061 is an apocalyptic number.

It is an amenable number.

2116055061 is a deficient number, since it is larger than the sum of its proper divisors (1104146859).

2116055061 is a wasteful number, since it uses less digits than its factorization.

2116055061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10825 (or 10822 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 2116055061 is about 46000.5984852371. The cubic root of 2116055061 is about 1283.8343400712.

The spelling of 2116055061 in words is "two billion, one hundred sixteen million, fifty-five thousand, sixty-one".

Divisors: 1 3 9 19 57 171 1303 3909 9497 11727 24757 28491 74271 85473 180443 222813 541329 1623987 12374591 37123773 111371319 235117229 705351687 2116055061