Search a number
-
+
105114351041 = 7731180117431
BaseRepresentation
bin110000111100101001…
…1011011010111000001
3101001022121012021221122
41201321103123113001
53210233233213131
6120142221202025
710410555145640
oct1417123332701
9331277167848
10105114351041
11406403467a7
1218456700315
139bb2267c6b
1451323ab357
152b0322cd7b
hex18794db5c1

105114351041 has 16 divisors (see below), whose sum is σ = 121793618688. Its totient is φ = 88851168000.

The previous prime is 105114351031. The next prime is 105114351107. The reversal of 105114351041 is 140153411501.

It is not a de Polignac number, because 105114351041 - 26 = 105114350977 is a prime.

It is a super-2 number, since 2×1051143510412 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105114351041.

It is not an unprimeable number, because it can be changed into a prime (105114351031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6021596 + ... + 6039026.

It is an arithmetic number, because the mean of its divisors is an integer number (7612101168).

Almost surely, 2105114351041 is an apocalyptic number.

It is an amenable number.

105114351041 is a deficient number, since it is larger than the sum of its proper divisors (16679267647).

105114351041 is a wasteful number, since it uses less digits than its factorization.

105114351041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29312.

The product of its (nonzero) digits is 1200, while the sum is 26.

Adding to 105114351041 its reverse (140153411501), we get a palindrome (245267762542).

The spelling of 105114351041 in words is "one hundred five billion, one hundred fourteen million, three hundred fifty-one thousand, forty-one".

Divisors: 1 7 73 511 11801 17431 82607 122017 861473 1272463 6030311 8907241 205703231 1439922617 15016335863 105114351041