Search a number
-
+
1122064233312 = 253111062560827
BaseRepresentation
bin10000010101000000001…
…111010111001101100000
310222021020120210221202010
4100111000033113031200
5121340441420431222
62215245202352520
7144031540421241
oct20250017271540
93867216727663
101122064233312
113a295700a060
1216156905b740
1381a6c02a029
143c4459a8cc8
151e2c2a6b80c
hex105403d7360

1122064233312 has 48 divisors (see below), whose sum is σ = 3213183943872. Its totient is φ = 340019464320.

The previous prime is 1122064233289. The next prime is 1122064233313. The reversal of 1122064233312 is 2133324602211.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1122064233312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122064233313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 531279358 + ... + 531281469.

It is an arithmetic number, because the mean of its divisors is an integer number (66941332164).

Almost surely, 21122064233312 is an apocalyptic number.

1122064233312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1122064233312 is an abundant number, since it is smaller than the sum of its proper divisors (2091119710560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1122064233312 is a wasteful number, since it uses less digits than its factorization.

1122064233312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062560851 (or 1062560843 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 1122064233312 its reverse (2133324602211), we get a palindrome (3255388835523).

The spelling of 1122064233312 in words is "one trillion, one hundred twenty-two billion, sixty-four million, two hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 1062560827 2125121654 3187682481 4250243308 6375364962 8500486616 11688169097 12750729924 17000973232 23376338194 25501459848 34001946464 35064507291 46752676388 51002919696 70129014582 93505352776 102005839392 140258029164 187010705552 280516058328 374021411104 561032116656 1122064233312