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11232242100 = 22325212480269
BaseRepresentation
bin10100111010111111…
…00110100110110100
31001222210110000111200
422131133212212310
5141000423221400
65054321532500
7545226324342
oct123537464664
931883400450
1011232242100
114844342812
1222157a4130
1310a0090301
14787a86992
1545b166b00
hex29d7e69b4

11232242100 has 54 divisors (see below), whose sum is σ = 35206841670. Its totient is φ = 2995264320.

The previous prime is 11232242093. The next prime is 11232242101. The reversal of 11232242100 is 124223211.

It is a happy number.

11232242100 is a `hidden beast` number, since 11 + 232 + 2 + 421 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1188594576 + 10043647524 = 34476^2 + 100218^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11232242101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6239235 + ... + 6241034.

Almost surely, 211232242100 is an apocalyptic number.

11232242100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11232242100 is an abundant number, since it is smaller than the sum of its proper divisors (23974599570).

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

11232242100 is a wasteful number, since it uses less digits than its factorization.

11232242100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12480289 (or 12480279 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11232242100 its reverse (124223211), we get a palindrome (11356465311).

The spelling of 11232242100 in words is "eleven billion, two hundred thirty-two million, two hundred forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 12480269 24960538 37440807 49921076 62401345 74881614 112322421 124802690 149763228 187204035 224644842 249605380 312006725 374408070 449289684 561612105 624013450 748816140 936020175 1123224210 1248026900 1872040350 2246448420 2808060525 3744080700 5616121050 11232242100