Search a number
-
+
1002230303121 = 32176550524857
BaseRepresentation
bin11101001010110011001…
…01001100100110010001
310112210221011010120012100
432211121211030212101
5112410031424144441
62044230201351013
7132260126005335
oct16453145144621
93483834116170
101002230303121
11357052972713
121422a4a98469
137368237a128
14367187317c5
151b10c46bcb6
hexe95994c991

1002230303121 has 12 divisors (see below), whose sum is σ = 1532822816772. Its totient is φ = 628850386176.

The previous prime is 1002230303059. The next prime is 1002230303143. The reversal of 1002230303121 is 1213030322001.

1002230303121 is a `hidden beast` number, since 10 + 0 + 2 + 230 + 303 + 121 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 868877522496 + 133352780625 = 932136^2 + 365175^2 .

It is not a de Polignac number, because 1002230303121 - 26 = 1002230303057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1002230303094 and 1002230303103.

It is not an unprimeable number, because it can be changed into a prime (1002230303161) 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 11 ways as a sum of consecutive naturals, for example, 3275262276 + ... + 3275262581.

It is an arithmetic number, because the mean of its divisors is an integer number (127735234731).

Almost surely, 21002230303121 is an apocalyptic number.

It is an amenable number.

1002230303121 is a deficient number, since it is larger than the sum of its proper divisors (530592513651).

1002230303121 is a wasteful number, since it uses less digits than its factorization.

1002230303121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6550524880 (or 6550524877 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1002230303121 its reverse (1213030322001), we get a palindrome (2215260625122).

The spelling of 1002230303121 in words is "one trillion, two billion, two hundred thirty million, three hundred three thousand, one hundred twenty-one".

Divisors: 1 3 9 17 51 153 6550524857 19651574571 58954723713 111358922569 334076767707 1002230303121