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12002210010 = 2325719051127
BaseRepresentation
bin10110010110110001…
…10011000011011010
31010222110021102220200
423023120303003122
5144040031210020
65302545003030
7603266046630
oct131330630332
933873242820
1012002210010
1150a9a3102a
1223ab623476
13119375971b
1481c035350
154a3a5a590
hex2cb6330da

12002210010 has 48 divisors (see below), whose sum is σ = 35663711616. Its totient is φ = 2743362144.

The previous prime is 12002209993. The next prime is 12002210027. The reversal of 12002210010 is 1001220021.

12002210010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12002209993) and next prime (12002210027).

It is a super-3 number, since 3×120022100103 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12002209974 and 12002210001.

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, 9524934 + ... + 9526193.

It is an arithmetic number, because the mean of its divisors is an integer number (742993992).

Almost surely, 212002210010 is an apocalyptic number.

12002210010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12002210010 is an abundant number, since it is smaller than the sum of its proper divisors (23661501606).

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

12002210010 is a wasteful number, since it uses less digits than its factorization.

12002210010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19051147 (or 19051144 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12002210010 its reverse (1001220021), we get a palindrome (13003430031).

The spelling of 12002210010 in words is "twelve billion, two million, two hundred ten thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 19051127 38102254 57153381 95255635 114306762 133357889 171460143 190511270 266715778 285766905 342920286 400073667 571533810 666789445 800147334 857300715 1200221001 1333578890 1714601430 2000368335 2400442002 4000736670 6001105005 12002210010