Search a number
-
+
22323121001 = 257313727689
BaseRepresentation
bin10100110010100011…
…111100101101101001
32010121201220001011022
4110302203330231221
5331204204333001
614131033542225
71420121253266
oct246243745551
963551801138
1022323121001
119515902235
1243abb74975
132149a8694c
14111aa5226d
158a9ba811b
hex5328fcb69

22323121001 has 8 divisors (see below), whose sum is σ = 22417934760. Its totient is φ = 22228369408.

The previous prime is 22323120979. The next prime is 22323121003. The reversal of 22323121001 is 10012132322.

It can be written as a sum of positive squares in 4 ways, for example, as 12507067225 + 9816053776 = 111835^2 + 99076^2 .

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 22323121001 - 210 = 22323119977 is a prime.

It is a super-3 number, since 3×223231210013 (a number of 32 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22323121003) 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, 792365 + ... + 820053.

It is an arithmetic number, because the mean of its divisors is an integer number (2802241845).

Almost surely, 222323121001 is an apocalyptic number.

It is an amenable number.

22323121001 is a deficient number, since it is larger than the sum of its proper divisors (94813759).

22323121001 is a wasteful number, since it uses less digits than its factorization.

22323121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31083.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 22323121001 its reverse (10012132322), we get a palindrome (32335253323).

The spelling of 22323121001 in words is "twenty-two billion, three hundred twenty-three million, one hundred twenty-one thousand, one".

Divisors: 1 257 3137 27689 806209 7116073 86860393 22323121001