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245201223105 = 32515661347929
BaseRepresentation
bin1110010001011100100…
…0011011110111000001
3212102220111100201202200
43210113020123313001
513004133003114410
6304351025103413
723500213002366
oct3442710336701
9772814321680
10245201223105
1194a97775133
123b631487b69
131a178b25237
14bc2137046d
1565a18ae3c0
hex391721bdc1

245201223105 has 24 divisors (see below), whose sum is σ = 425043813480. Its totient is φ = 130765259520.

The previous prime is 245201223083. The next prime is 245201223107. The reversal of 245201223105 is 501322102542.

245201223105 is a `hidden beast` number, since 2 + 4 + 520 + 12 + 23 + 105 = 666.

245201223105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 130968714816 + 114232508289 = 361896^2 + 337983^2 .

It is not a de Polignac number, because 245201223105 - 219 = 245200698817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (245201223107) 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 23 ways as a sum of consecutive naturals, for example, 530781 + ... + 878709.

It is an arithmetic number, because the mean of its divisors is an integer number (17710158895).

Almost surely, 2245201223105 is an apocalyptic number.

It is an amenable number.

245201223105 is a deficient number, since it is larger than the sum of its proper divisors (179842590375).

245201223105 is a wasteful number, since it uses less digits than its factorization.

245201223105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363601 (or 363598 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 245201223105 its reverse (501322102542), we get a palindrome (746523325647).

The spelling of 245201223105 in words is "two hundred forty-five billion, two hundred one million, two hundred twenty-three thousand, one hundred five".

Divisors: 1 3 5 9 15 45 15661 46983 78305 140949 234915 347929 704745 1043787 1739645 3131361 5218935 15656805 5448916069 16346748207 27244580345 49040244621 81733741035 245201223105