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11146664111 = 112971019403
BaseRepresentation
bin10100110000110010…
…01001100010101111
31001202211102012120112
422120121021202233
5140312021222421
65042023410235
7543140040002
oct123031114257
931684365515
1011146664111
114800001800
1221b0bb397b
13108842904b
1477a56b539
154538b045b
hex2986498af

11146664111 has 24 divisors (see below), whose sum is σ = 12502317072. Its totient is φ = 9928512000.

The previous prime is 11146664077. The next prime is 11146664131.

11146664111 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11146664111 - 226 = 11079555247 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11146664131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1180736 + ... + 1190138.

It is an arithmetic number, because the mean of its divisors is an integer number (520929878).

Almost surely, 211146664111 is an apocalyptic number.

11146664111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11146664111 is a deficient number, since it is larger than the sum of its proper divisors (1355652961).

11146664111 is a wasteful number, since it uses less digits than its factorization.

11146664111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9623 (or 9612 counting only the distinct ones).

The product of its digits is 3456, while the sum is 32.

The spelling of 11146664111 in words is "eleven billion, one hundred forty-six million, six hundred sixty-four thousand, one hundred eleven".

Divisors: 1 11 97 101 121 1067 1111 9403 9797 11737 12221 103433 107767 912091 949703 1137763 1185437 10033001 10446733 92121191 110363011 114914063 1013333101 11146664111