Search a number
-
+
1023113201 = 1128455481
BaseRepresentation
bin111100111110110…
…111011111110001
32122022011112110112
4330332313133301
54043404110301
6245304511105
734232214215
oct7476673761
92568145415
101023113201
11485580100
1224677b495
13133c70636
1499c46945
155ec499bb
hex3cfb77f1

1023113201 has 6 divisors (see below), whose sum is σ = 1124579106. Its totient is φ = 930102800.

The previous prime is 1023113149. The next prime is 1023113213.

1023113201 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 959512576 + 63600625 = 30976^2 + 7975^2 .

It is not a de Polignac number, because 1023113201 - 26 = 1023113137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1023113251) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4227620 + ... + 4227861.

It is an arithmetic number, because the mean of its divisors is an integer number (187429851).

Almost surely, 21023113201 is an apocalyptic number.

1023113201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1023113201 is a deficient number, since it is larger than the sum of its proper divisors (101465905).

1023113201 is an equidigital number, since it uses as much as digits as its factorization.

1023113201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8455503 (or 8455492 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1023113201 is about 31986.1407643998. The cubic root of 1023113201 is about 1007.6457931935.

It can be divided in two parts, 10231 and 13201, that added together give a palindrome (23432).

The spelling of 1023113201 in words is "one billion, twenty-three million, one hundred thirteen thousand, two hundred one".

Divisors: 1 11 121 8455481 93010291 1023113201