Search a number
-
+
1014055122041 = 13569800917117
BaseRepresentation
bin11101100000110100110…
…01010011010001111001
310120221110020121121021122
432300122121103101321
5113103241102401131
62053503412315025
7133156142214143
oct16603231232171
93527406547248
101014055122041
11361070753135
12144645012a75
13748181372c0
143711ad8bc93
151b5a0636d7b
hexec1a653479

1014055122041 has 16 divisors (see below), whose sum is σ = 1094179136400. Its totient is φ = 934234549248.

The previous prime is 1014055121969. The next prime is 1014055122079. The reversal of 1014055122041 is 1402215504101.

It is a happy number.

1014055122041 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 8 ways, for example, as 401911621225 + 612143500816 = 633965^2 + 782396^2 .

It is a de Polignac number, because none of the positive numbers 2k-1014055122041 is a prime.

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 1014055122041.

It is not an unprimeable number, because it can be changed into a prime (1014055122341) 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, 59234015 + ... + 59251131.

It is an arithmetic number, because the mean of its divisors is an integer number (68386196025).

Almost surely, 21014055122041 is an apocalyptic number.

It is an amenable number.

1014055122041 is a deficient number, since it is larger than the sum of its proper divisors (80124014359).

1014055122041 is a wasteful number, since it uses less digits than its factorization.

1014055122041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25708.

The product of its (nonzero) digits is 1600, while the sum is 26.

The spelling of 1014055122041 in words is "one trillion, fourteen billion, fifty-five million, one hundred twenty-two thousand, forty-one".

Divisors: 1 13 569 7397 8009 17117 104117 222521 4557121 9739573 59242573 126614449 137090053 1782170689 78004240157 1014055122041