Search a number
-
+
10002003321 = 333131006339
BaseRepresentation
bin10010101000010101…
…00111010101111001
3221211001112102011110
421110022213111321
5130441003101241
64332253350533
7502600424352
oct112412472571
927731472143
1010002003321
114272963152
121b31798449
13c3523c27b
146ac524d29
153d8156816
hex2542a7579

10002003321 has 8 divisors (see below), whose sum is σ = 13340043040. Its totient is φ = 6665982912.

The previous prime is 10002003317. The next prime is 10002003331. The reversal of 10002003321 is 12330020001.

It is a happy number.

10002003321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 10002003321 - 22 = 10002003317 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10002003297 and 10002003306.

It is not an unprimeable number, because it can be changed into a prime (10002003301) by changing a digit.

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, 493231 + ... + 513108.

It is an arithmetic number, because the mean of its divisors is an integer number (1667505380).

Almost surely, 210002003321 is an apocalyptic number.

It is an amenable number.

10002003321 is a deficient number, since it is larger than the sum of its proper divisors (3338039719).

10002003321 is a wasteful number, since it uses less digits than its factorization.

10002003321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009655.

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10002003321 its reverse (12330020001), we get a palindrome (22332023322).

The spelling of 10002003321 in words is "ten billion, two million, three thousand, three hundred twenty-one".

Divisors: 1 3 3313 9939 1006339 3019017 3334001107 10002003321