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12002231100 = 22352318112577
BaseRepresentation
bin10110010110110001…
…11000001100111100
31010222110022111211210
423023120320030330
5144040032343400
65302545244420
7603266165256
oct131330701474
933873274753
1012002231100
1150a9a45962
1223ab633710
1311937661c2
1481c03ccd6
154a3a61950
hex2cb63833c

12002231100 has 72 divisors (see below), whose sum is σ = 34740134128. Its totient is φ = 3199334400.

The previous prime is 12002231099. The next prime is 12002231119. The reversal of 12002231100 is 113220021.

12002231100 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 (12).

It is a congruent number.

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, 948012 + ... + 960588.

Almost surely, 212002231100 is an apocalyptic number.

12002231100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002231100 is an abundant number, since it is smaller than the sum of its proper divisors (22737903028).

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

12002231100 is a wasteful number, since it uses less digits than its factorization.

12002231100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15775 (or 15768 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12002231100 its reverse (113220021), we get a palindrome (12115451121).

The spelling of 12002231100 in words is "twelve billion, two million, two hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 3181 6362 9543 12577 12724 15905 19086 25154 31810 37731 38172 47715 50308 62885 63620 75462 79525 95430 125770 150924 159050 188655 190860 238575 251540 314425 318100 377310 477150 628850 754620 943275 954300 1257700 1886550 3773100 40007437 80014874 120022311 160029748 200037185 240044622 400074370 480089244 600111555 800148740 1000185925 1200223110 2000371850 2400446220 3000557775 4000743700 6001115550 12002231100