Search a number
-
+
1020314221 = 2910123449
BaseRepresentation
bin111100110100001…
…100001001101101
32122002220022222121
4330310030021231
54042200023341
6245124512541
734166346013
oct7464141155
92562808877
101020314221
11483a391a3
1224584b751
13133500634
14997188b3
155e8954d1
hex3cd0c26d

1020314221 has 12 divisors (see below), whose sum is σ = 1066360500. Its totient is φ = 975094400.

The previous prime is 1020314173. The next prime is 1020314227. The reversal of 1020314221 is 1224130201.

1020314221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 58446025 + 961868196 = 7645^2 + 31014^2 .

It is not a de Polignac number, because 1020314221 - 27 = 1020314093 is a prime.

It is a super-2 number, since 2×10203142212 = 2082082219149673682, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1020314195 and 1020314204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020314227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 294105 + ... + 297553.

It is an arithmetic number, because the mean of its divisors is an integer number (88863375).

Almost surely, 21020314221 is an apocalyptic number.

It is an amenable number.

1020314221 is a deficient number, since it is larger than the sum of its proper divisors (46046279).

1020314221 is an equidigital number, since it uses as much as digits as its factorization.

1020314221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3680 (or 3579 counting only the distinct ones).

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

The square root of 1020314221 is about 31942.3577871140. The cubic root of 1020314221 is about 1006.7260656124.

Adding to 1020314221 its reverse (1224130201), we get a palindrome (2244444422).

The spelling of 1020314221 in words is "one billion, twenty million, three hundred fourteen thousand, two hundred twenty-one".

Divisors: 1 29 101 2929 3449 10201 100021 295829 348349 10102121 35183249 1020314221