Search a number
-
+
105152040641 = 313392001311
BaseRepresentation
bin110000111101110001…
…1001100111011000001
3101001102020010010100202
41201323203030323001
53210322410300031
6120150045054545
710411523412104
oct1417343147301
9331366103322
10105152040641
114065a64952a
1218467257455
139bba002cbb
1451373bc73b
152b066c52cb
hex187b8ccec1

105152040641 has 4 divisors (see below), whose sum is σ = 108544041984. Its totient is φ = 101760039300.

The previous prime is 105152040629. The next prime is 105152040671. The reversal of 105152040641 is 146040251501.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 146040251501 = 172384759287.

It is a cyclic number.

It is not a de Polignac number, because 105152040641 - 26 = 105152040577 is a prime.

It is a super-2 number, since 2×1051520406412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105152040671) 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 3 ways as a sum of consecutive naturals, for example, 1696000625 + ... + 1696000686.

It is an arithmetic number, because the mean of its divisors is an integer number (27136010496).

Almost surely, 2105152040641 is an apocalyptic number.

It is an amenable number.

105152040641 is a deficient number, since it is larger than the sum of its proper divisors (3392001343).

105152040641 is an equidigital number, since it uses as much as digits as its factorization.

105152040641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3392001342.

The product of its (nonzero) digits is 4800, while the sum is 29.

The spelling of 105152040641 in words is "one hundred five billion, one hundred fifty-two million, forty thousand, six hundred forty-one".

Divisors: 1 31 3392001311 105152040641