Search a number
-
+
123540311336 = 23137316272433
BaseRepresentation
bin111001100001110010…
…0111000110100101000
3102210212201220001122112
41303003210320310220
54011002304430321
6132430441341452
711632305214541
oct1630344706450
9383781801575
10123540311336
1148436315462
121bb39497888
13b85a7c9150
145d9d5d94c8
153330bc6a5b
hex1cc3938d28

123540311336 has 32 divisors (see below), whose sum is σ = 252873624360. Its totient is φ = 56237524992.

The previous prime is 123540311327. The next prime is 123540311341. The reversal of 123540311336 is 633113045321.

It can be written as a sum of positive squares in 4 ways, for example, as 72873002500 + 50667308836 = 269950^2 + 225094^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8128625 + ... + 8143808.

Almost surely, 2123540311336 is an apocalyptic number.

It is an amenable number.

123540311336 is an abundant number, since it is smaller than the sum of its proper divisors (129333313024).

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

123540311336 is a wasteful number, since it uses less digits than its factorization.

123540311336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16272525 (or 16272521 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 32.

Adding to 123540311336 its reverse (633113045321), we get a palindrome (756653356657).

The spelling of 123540311336 in words is "one hundred twenty-three billion, five hundred forty million, three hundred eleven thousand, three hundred thirty-six".

Divisors: 1 2 4 8 13 26 52 73 104 146 292 584 949 1898 3796 7592 16272433 32544866 65089732 130179464 211541629 423083258 846166516 1187887609 1692333032 2375775218 4751550436 9503100872 15442538917 30885077834 61770155668 123540311336