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11033130100 = 2252110331301
BaseRepresentation
bin10100100011010000…
…00011010001110100
31001110220210002012011
422101220003101310
5140043440130400
65022450134004
7540261026026
oct122150032164
931426702164
1011033130100
114751a06a43
12217ab81304
13106aa57265
14769456016
154489358ba
hex291a03474

11033130100 has 18 divisors (see below), whose sum is σ = 23941892534. Its totient is φ = 4413252000.

The previous prime is 11033130029. The next prime is 11033130109. The reversal of 11033130100 is 103133011.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 54700816 + 10978429284 = 7396^2 + 104778^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11033130109) 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 5 ways as a sum of consecutive naturals, for example, 55165551 + ... + 55165750.

Almost surely, 211033130100 is an apocalyptic number.

11033130100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11033130100 is an abundant number, since it is smaller than the sum of its proper divisors (12908762434).

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

11033130100 is a wasteful number, since it uses less digits than its factorization.

11033130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110331315 (or 110331308 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 11033130100 its reverse (103133011), we get a palindrome (11136263111).

The spelling of 11033130100 in words is "eleven billion, thirty-three million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 110331301 220662602 441325204 551656505 1103313010 2206626020 2758282525 5516565050 11033130100