Search a number
-
+
1022304101 = 72131984467
BaseRepresentation
bin111100111011110…
…001111101100101
32122020122102120212
4330323301331211
54043202212401
6245235305205
734222304300
oct7473617545
92566572525
101022304101
11485078225
1224644b205
13133a49290
1499ab5b37
155eb39dbb
hex3cef1f65

1022304101 has 24 divisors (see below), whose sum is σ = 1348109280. Its totient is φ = 766275552.

The previous prime is 1022304077. The next prime is 1022304113. The reversal of 1022304101 is 1014032201.

It is not a de Polignac number, because 1022304101 - 26 = 1022304037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022304131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30131 + ... + 54336.

It is an arithmetic number, because the mean of its divisors is an integer number (56171220).

Almost surely, 21022304101 is an apocalyptic number.

It is an amenable number.

1022304101 is a deficient number, since it is larger than the sum of its proper divisors (325805179).

1022304101 is a wasteful number, since it uses less digits than its factorization.

1022304101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84513 (or 84506 counting only the distinct ones).

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

The square root of 1022304101 is about 31973.4905976811. The cubic root of 1022304101 is about 1007.3801004626.

Adding to 1022304101 its reverse (1014032201), we get a palindrome (2036336302).

The spelling of 1022304101 in words is "one billion, twenty-two million, three hundred four thousand, one hundred one".

Divisors: 1 7 13 19 49 91 133 247 637 931 1729 12103 84467 591269 1098071 1604873 4138883 7686497 11234111 20863349 53805479 78638777 146043443 1022304101