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12002102321 = 113191938299
BaseRepresentation
bin10110010110110000…
…11000110000110001
31010222110001222012012
423023120120300301
5144040014233241
65302542412305
7603265120646
oct131330306061
933873058165
1012002102321
1150a9968130
1223ab591095
13119371c6c1
1481c007dcd
154a3a386eb
hex2cb618c31

12002102321 has 16 divisors (see below), whose sum is σ = 13530624000. Its totient is φ = 10547269200.

The previous prime is 12002102311. The next prime is 12002102447. The reversal of 12002102321 is 12320120021.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 12002102321 - 218 = 12001840177 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12002102296 and 12002102305.

It is not an unprimeable number, because it can be changed into a prime (12002102311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294230 + ... + 332528.

It is an arithmetic number, because the mean of its divisors is an integer number (845664000).

Almost surely, 212002102321 is an apocalyptic number.

12002102321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12002102321 is a deficient number, since it is larger than the sum of its proper divisors (1528521679).

12002102321 is a wasteful number, since it uses less digits than its factorization.

12002102321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39260.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12002102321 its reverse (12320120021), we get a palindrome (24322222342).

The spelling of 12002102321 in words is "twelve billion, two million, one hundred two thousand, three hundred twenty-one".

Divisors: 1 11 31 341 919 10109 28489 38299 313379 421289 1187269 13059959 35196781 387164591 1091100211 12002102321