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11323121100 = 22352371020101
BaseRepresentation
bin10101000101110100…
…10001110111001100
31002020010110011001120
422202322101313030
5141142204333400
65111325440540
7550411640604
oct124272216714
932203404046
1011323121100
114890674525
122240110150
1310b5b5c375
14795b81c04
15464118ca0
hex2a2e91dcc

11323121100 has 72 divisors (see below), whose sum is σ = 33647044368. Its totient is φ = 2937888000.

The previous prime is 11323121093. The next prime is 11323121119. The reversal of 11323121100 is 112132311.

It is a happy number.

11323121100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11323121100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 498951 + ... + 521150.

Almost surely, 211323121100 is an apocalyptic number.

11323121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11323121100 is an abundant number, since it is smaller than the sum of its proper divisors (22323923268).

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

11323121100 is a wasteful number, since it uses less digits than its factorization.

11323121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020155 (or 1020148 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11323121100 its reverse (112132311), we get a palindrome (11435253411).

The spelling of 11323121100 in words is "eleven billion, three hundred twenty-three million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5550 11100 1020101 2040202 3060303 4080404 5100505 6120606 10201010 12241212 15301515 20402020 25502525 30603030 37743737 51005050 61206060 75487474 76507575 102010100 113231211 150974948 153015150 188718685 226462422 306030300 377437370 452924844 566156055 754874740 943593425 1132312110 1887186850 2264624220 2830780275 3774373700 5661560550 11323121100