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11332103100 = 22352172221981
BaseRepresentation
bin10101000110111001…
…00010101110111100
31002020202100111001020
422203130202232330
5141202004244400
65112250144140
7550551200313
oct124334425674
932222314036
1011332103100
11489574986a
122243122050
1310b7985766
1479703d27a
15464ce02a0
hex2a3722bbc

11332103100 has 72 divisors (see below), whose sum is σ = 34716246768. Its totient is φ = 2844134400.

The previous prime is 11332103087. The next prime is 11332103143. The reversal of 11332103100 is 130123311.

It is a super-2 number, since 2×113321031002 (a number of 21 digits) contains 22 as substring.

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 11332103100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1105891 + ... + 1116090.

It is an arithmetic number, because the mean of its divisors is an integer number (482170094).

Almost surely, 211332103100 is an apocalyptic number.

11332103100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11332103100 is an abundant number, since it is smaller than the sum of its proper divisors (23384143668).

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

11332103100 is a wasteful number, since it uses less digits than its factorization.

11332103100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2222015 (or 2222008 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 11332103100 its reverse (130123311), we get a palindrome (11462226411).

The spelling of 11332103100 in words is "eleven billion, three hundred thirty-two million, one hundred three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 2221981 4443962 6665943 8887924 11109905 13331886 22219810 26663772 33329715 37773677 44439620 55549525 66659430 75547354 111099050 113321031 133318860 151094708 166648575 188868385 222198100 226642062 333297150 377736770 453284124 566605155 666594300 755473540 944341925 1133210310 1888683850 2266420620 2833025775 3777367700 5666051550 11332103100