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11133222100 = 225271121310111
BaseRepresentation
bin10100101111001011…
…10111110011010100
31001201220010021121021
422113211313303110
5140300101101400
65040423330524
7542614553320
oct122745676324
931656107537
1011133222100
1147a3460600
1221a85b0a44
1310857008b0
1477886c980
1545260771a
hex297977cd4

11133222100 has 216 divisors, whose sum is σ = 32686352384. Its totient is φ = 3202848000.

The previous prime is 11133222071. The next prime is 11133222101. The reversal of 11133222100 is 122233111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11133222101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1096045 + ... + 1106155.

Almost surely, 211133222100 is an apocalyptic number.

11133222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11133222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16343176192).

11133222100 is an abundant number, since it is smaller than the sum of its proper divisors (21553130284).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11133222100 is a wasteful number, since it uses less digits than its factorization.

11133222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10167 (or 10149 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 11133222100 its reverse (122233111), we get a palindrome (11255455211).

The spelling of 11133222100 in words is "eleven billion, one hundred thirty-three million, two hundred twenty-two thousand, one hundred".