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12002101112 = 233173662953
BaseRepresentation
bin10110010110110000…
…11000011101111000
31010222110001220112102
423023120120131320
5144040014213422
65302542402532
7603265114301
oct131330303570
933873056472
1012002101112
1150a9967231
1223ab590448
13119371bca1
1481c0077a8
154a3a38192
hex2cb618778

12002101112 has 32 divisors (see below), whose sum is σ = 23548126080. Its totient is φ = 5727905280.

The previous prime is 12002101103. The next prime is 12002101129. The reversal of 12002101112 is 21110120021.

12002101112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120021011122 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12002101093 and 12002101102.

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 7 ways as a sum of consecutive naturals, for example, 313373 + ... + 349580.

It is an arithmetic number, because the mean of its divisors is an integer number (735878940).

Almost surely, 212002101112 is an apocalyptic number.

It is an amenable number.

12002101112 is a deficient number, since it is larger than the sum of its proper divisors (11546024968).

12002101112 is a wasteful number, since it uses less digits than its factorization.

12002101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663063 (or 663059 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12002101112 its reverse (21110120021), we get a palindrome (33112221133).

The spelling of 12002101112 in words is "twelve billion, two million, one hundred one thousand, one hundred twelve".

Divisors: 1 2 4 8 31 62 73 124 146 248 292 584 2263 4526 9052 18104 662953 1325906 2651812 5303624 20551543 41103086 48395569 82206172 96791138 164412344 193582276 387164552 1500262639 3000525278 6001050556 12002101112