Search a number
-
+
107825191441 = 1173137980131
BaseRepresentation
bin110010001101011100…
…0011101101000010001
3101022022112010020212221
41210122320131220101
53231311222111231
6121311220021041
710535003001502
oct1443270355021
9338275106787
10107825191441
1141801567270
1218a92531781
13a224a78936
14530c422ba9
152c11204d11
hex191ae1da11

107825191441 has 16 divisors (see below), whose sum is σ = 120109295808. Its totient is φ = 95974329600.

The previous prime is 107825191433. The next prime is 107825191451. The reversal of 107825191441 is 144191528701.

It is a cyclic number.

It is not a de Polignac number, because 107825191441 - 23 = 107825191433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107825191451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 380055 + ... + 600076.

It is an arithmetic number, because the mean of its divisors is an integer number (7506830988).

Almost surely, 2107825191441 is an apocalyptic number.

107825191441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

107825191441 is a deficient number, since it is larger than the sum of its proper divisors (12284104367).

107825191441 is a wasteful number, since it uses less digits than its factorization.

107825191441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980352.

The product of its (nonzero) digits is 80640, while the sum is 43.

The spelling of 107825191441 in words is "one hundred seven billion, eight hundred twenty-five million, one hundred ninety-one thousand, four hundred forty-one".

Divisors: 1 11 73 137 803 1507 10001 110011 980131 10781441 71549563 134277947 787045193 1477057417 9802290131 107825191441