Search a number
-
+
1022304331025 = 52201612028281
BaseRepresentation
bin11101110000001100001…
…01100010010100010001
310121201202010221211122022
432320012011202110101
5113222134402043100
62101350133421225
7133600440303125
oct16700605422421
93551663854568
101022304331025
11364614163a1a
1214616779a815
13755311a3a53
14376a07a7585
151b8d495be85
hexee06162511

1022304331025 has 12 divisors (see below), whose sum is σ = 1267720872204. Its totient is φ = 817802496000.

The previous prime is 1022304331019. The next prime is 1022304331043. The reversal of 1022304331025 is 5201334032201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 63469732624 + 958834598401 = 251932^2 + 979201^2 .

It is not a de Polignac number, because 1022304331025 - 28 = 1022304330769 is a prime.

It is a super-2 number, since 2×10223043310252 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1022304330985 and 1022304331003.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 510116 + ... + 1518165.

It is an arithmetic number, because the mean of its divisors is an integer number (105643406017).

Almost surely, 21022304331025 is an apocalyptic number.

It is an amenable number.

1022304331025 is a deficient number, since it is larger than the sum of its proper divisors (245416541179).

1022304331025 is a wasteful number, since it uses less digits than its factorization.

1022304331025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2048452 (or 2048447 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 1022304331025 its reverse (5201334032201), we get a palindrome (6223638363226).

The spelling of 1022304331025 in words is "one trillion, twenty-two billion, three hundred four million, three hundred thirty-one thousand, twenty-five".

Divisors: 1 5 25 20161 100805 504025 2028281 10141405 50707025 40892173241 204460866205 1022304331025