Search a number
-
+
105311530241 = 1312767290533
BaseRepresentation
bin110001000010100001…
…1100110110100000001
3101001211100020000221222
41202011003212310001
53211134222431431
6120213543324425
710415501144261
oct1420503466401
9331740200858
10105311530241
1140731682415
12184b0750715
139c14075348
1451506577a1
152b156cb57b
hex18850e6d01

105311530241 has 8 divisors (see below), whose sum is σ = 106154150784. Its totient is φ = 104469496560.

The previous prime is 105311530231. The next prime is 105311530253. The reversal of 105311530241 is 142035113501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105311530241 is a prime.

It is a super-2 number, since 2×1053115302412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105311530241.

It is not an unprimeable number, because it can be changed into a prime (105311530231) 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, 217211 + ... + 507743.

It is an arithmetic number, because the mean of its divisors is an integer number (13269268848).

Almost surely, 2105311530241 is an apocalyptic number.

It is an amenable number.

105311530241 is a deficient number, since it is larger than the sum of its proper divisors (842620543).

105311530241 is a wasteful number, since it uses less digits than its factorization.

105311530241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293431.

The product of its (nonzero) digits is 1800, while the sum is 26.

Adding to 105311530241 its reverse (142035113501), we get a palindrome (247346643742).

The spelling of 105311530241 in words is "one hundred five billion, three hundred eleven million, five hundred thirty thousand, two hundred forty-one".

Divisors: 1 131 2767 290533 362477 38059823 803904811 105311530241