Search a number
-
+
10222120321 = 78747166949
BaseRepresentation
bin10011000010100100…
…10010110110000001
3222101101201111220221
421201102102312001
5131413330322241
64410155303041
7511212406030
oct114122226601
928341644827
1010222120321
114376136326
121b9344aa81
13c6ba1b00a
146cd862717
153ec6365d1
hex261492d81

10222120321 has 8 divisors (see below), whose sum is σ = 11683828800. Its totient is φ = 8760763248.

The previous prime is 10222120283. The next prime is 10222120331. The reversal of 10222120321 is 12302122201.

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 10222120321 - 225 = 10188565889 is a prime.

It is a super-2 number, since 2×102221203212 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10222120295 and 10222120304.

It is not an unprimeable number, because it can be changed into a prime (10222120331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22246 + ... + 144703.

It is an arithmetic number, because the mean of its divisors is an integer number (1460478600).

Almost surely, 210222120321 is an apocalyptic number.

It is an amenable number.

10222120321 is a deficient number, since it is larger than the sum of its proper divisors (1461708479).

10222120321 is an equidigital number, since it uses as much as digits as its factorization.

10222120321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175703.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10222120321 its reverse (12302122201), we get a palindrome (22524242522).

The spelling of 10222120321 in words is "ten billion, two hundred twenty-two million, one hundred twenty thousand, three hundred twenty-one".

Divisors: 1 7 8747 61229 166949 1168643 1460302903 10222120321