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1122334716409 = 232460612
BaseRepresentation
bin10000010101010000010…
…111001011000111111001
310222021221102202220210121
4100111100113023013321
5121342020141411114
62215332104013241
7144041333453554
oct20252027130771
93867842686717
101122334716409
113a2a85763005
12161623761221
1381ab30919ba
143c46d89769b
151e2db699a24
hex105505cb1f9

1122334716409 has 9 divisors (see below), whose sum is σ = 1173278965999. Its totient is φ = 1073514247960.

The previous prime is 1122334716379. The next prime is 1122334716449. The reversal of 1122334716409 is 9046174332211.

The square root of 1122334716409 is 1059403.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 72898380009 + 1049436336400 = 269997^2 + 1024420^2 .

It is not a de Polignac number, because 1122334716409 - 29 = 1122334715897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1122334716449) 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 8 ways as a sum of consecutive naturals, for example, 24343239 + ... + 24389299.

Almost surely, 21122334716409 is an apocalyptic number.

1122334716409 is the 1059403-rd square number.

1122334716409 is the 529702-nd centered octagonal number.

It is an amenable number.

1122334716409 is a deficient number, since it is larger than the sum of its proper divisors (50944249590).

1122334716409 is an frugal number, since it uses more digits than its factorization.

1122334716409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92168 (or 46084 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The spelling of 1122334716409 in words is "one trillion, one hundred twenty-two billion, three hundred thirty-four million, seven hundred sixteen thousand, four hundred nine".

Divisors: 1 23 529 46061 1059403 24366269 2121615721 48797161583 1122334716409