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2002121321 = 6188737003
BaseRepresentation
bin111011101010101…
…1111001001101001
312011112100022010112
41313111133021221
513100020340241
6530400224105
7100420515254
oct16725371151
95145308115
102002121321
11938166422
1247a60b035
1325ba3aa95
1414dc8c09b
15bab811eb
hex7755f269

2002121321 has 8 divisors (see below), whose sum is σ = 2037292224. Its totient is φ = 1967026320.

The previous prime is 2002121309. The next prime is 2002121351. The reversal of 2002121321 is 1231212002.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2002121321 - 210 = 2002120297 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2002121296 and 2002121305.

It is not an unprimeable number, because it can be changed into a prime (2002121351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35606 + ... + 72608.

It is an arithmetic number, because the mean of its divisors is an integer number (254661528).

Almost surely, 22002121321 is an apocalyptic number.

It is an amenable number.

2002121321 is a deficient number, since it is larger than the sum of its proper divisors (35170903).

2002121321 is an equidigital number, since it uses as much as digits as its factorization.

2002121321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37951.

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

The square root of 2002121321 is about 44745.0703541742. The cubic root of 2002121321 is about 1260.3663419943.

Adding to 2002121321 its reverse (1231212002), we get a palindrome (3233333323).

The spelling of 2002121321 in words is "two billion, two million, one hundred twenty-one thousand, three hundred twenty-one".

Divisors: 1 61 887 37003 54107 2257183 32821661 2002121321