Search a number
-
+
11188198681 = 1143151383409
BaseRepresentation
bin10100110101101111…
…00101110100011001
31001212201120101021221
422122313211310121
5140403134324211
65050105532041
7544153056022
oct123267456431
931781511257
1011188198681
1148214a02a0
122202aa4021
131093c0c20a
14781c9dc49
15457366c71
hex29ade5d19

11188198681 has 32 divisors (see below), whose sum is σ = 12635504640. Its totient is φ = 9818928000.

The previous prime is 11188198669. The next prime is 11188198699. The reversal of 11188198681 is 18689188111.

It is a cyclic number.

It is not a de Polignac number, because 11188198681 - 229 = 10651327769 is a prime.

It is a super-2 number, since 2×111881986812 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11188198601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27354805 + ... + 27355213.

It is an arithmetic number, because the mean of its divisors is an integer number (394859520).

Almost surely, 211188198681 is an apocalyptic number.

11188198681 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11188198681 is a deficient number, since it is larger than the sum of its proper divisors (1447305959).

11188198681 is a wasteful number, since it uses less digits than its factorization.

11188198681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997.

The product of its digits is 221184, while the sum is 52.

The spelling of 11188198681 in words is "eleven billion, one hundred eighty-eight million, one hundred ninety-eight thousand, six hundred eighty-one".

Divisors: 1 11 43 151 383 409 473 1661 4213 4499 6493 16469 17587 57833 61759 71423 156647 181159 193457 636163 679349 1723117 2486819 2655637 6735821 23653697 27355009 29212007 74094031 260190667 1017108971 11188198681