Search a number
-
+
105140225611 = 2331251587497
BaseRepresentation
bin110000111101011011…
…0001000011001001011
3101001101101212212012001
41201322312020121023
53210311344204421
6120144543531431
710411321113001
oct1417266103113
9331341785161
10105140225611
1140653a09743
12184632b9b77
139bb7727265
1451359c4a71
152b0563e691
hex187ad8864b

105140225611 has 16 divisors (see below), whose sum is σ = 113702012928. Its totient is φ = 96936840000.

The previous prime is 105140225591. The next prime is 105140225621. The reversal of 105140225611 is 116522041501.

It is a cyclic number.

It is not a de Polignac number, because 105140225611 - 25 = 105140225579 is a prime.

It is a super-2 number, since 2×1051402256112 (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 105140225611.

It is not an unprimeable number, because it can be changed into a prime (105140225621) 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, 114786 + ... + 472711.

It is an arithmetic number, because the mean of its divisors is an integer number (7106375808).

Almost surely, 2105140225611 is an apocalyptic number.

105140225611 is a deficient number, since it is larger than the sum of its proper divisors (8561787317).

105140225611 is a wasteful number, since it uses less digits than its factorization.

105140225611 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587802.

The product of its (nonzero) digits is 2400, while the sum is 28.

The spelling of 105140225611 in words is "one hundred five billion, one hundred forty million, two hundred twenty-five thousand, six hundred eleven".

Divisors: 1 23 31 251 713 5773 7781 178963 587497 13512431 18212407 147461747 418885361 3391620181 4571314157 105140225611