Search a number
-
+
105042205531 = 1097519671327
BaseRepresentation
bin110000111010100000…
…0001101101101011011
3101001010120102220220201
41201311000031231123
53210111301034111
6120131123003031
710406021005114
oct1416500155533
9331116386821
10105042205531
114060364a80a
1218436509477
139ba0327a03
14512698b20b
152aebc2b6c1
hex187500db5b

105042205531 has 16 divisors (see below), whose sum is σ = 106336890880. Its totient is φ = 103754196000.

The previous prime is 105042205529. The next prime is 105042205547. The reversal of 105042205531 is 135502240501.

It is a cyclic number.

It is not a de Polignac number, because 105042205531 - 21 = 105042205529 is a prime.

It is a super-2 number, since 2×1050422055312 (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 105042205531.

It is not an unprimeable number, because it can be changed into a prime (105042205561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79156990 + ... + 79158316.

It is an arithmetic number, because the mean of its divisors is an integer number (6646055680).

Almost surely, 2105042205531 is an apocalyptic number.

105042205531 is a deficient number, since it is larger than the sum of its proper divisors (1294685349).

105042205531 is a wasteful number, since it uses less digits than its factorization.

105042205531 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3154.

The product of its (nonzero) digits is 6000, while the sum is 28.

The spelling of 105042205531 in words is "one hundred five billion, forty-two million, two hundred five thousand, five hundred thirty-one".

Divisors: 1 109 751 967 1327 81859 105403 144643 726217 996577 1283209 79157653 108626893 139869781 963689959 105042205531