Search a number
-
+
105042133254 = 23294631303867
BaseRepresentation
bin110000111010011111…
…1111100000100000110
3101001010120022020202210
41201310333330010012
53210111241231004
6120131121244250
710406020254312
oct1416477740406
9331116266683
10105042133254
1140603600483
1218436493686
139ba0300b46
14512696cb42
152aebc15089
hex1874ffc106

105042133254 has 32 divisors (see below), whose sum is σ = 217798110720. Its totient is φ = 33733621152.

The previous prime is 105042133247. The next prime is 105042133267. The reversal of 105042133254 is 452331240501.

It is a super-2 number, since 2×1050421332542 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 571372 + ... + 732495.

It is an arithmetic number, because the mean of its divisors is an integer number (6806190960).

Almost surely, 2105042133254 is an apocalyptic number.

105042133254 is an abundant number, since it is smaller than the sum of its proper divisors (112755977466).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105042133254 is a wasteful number, since it uses less digits than its factorization.

105042133254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304364.

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 105042133254 its reverse (452331240501), we get a palindrome (557373373755).

The spelling of 105042133254 in words is "one hundred five billion, forty-two million, one hundred thirty-three thousand, two hundred fifty-four".

Divisors: 1 2 3 6 29 58 87 174 463 926 1389 2778 13427 26854 40281 80562 1303867 2607734 3911601 7823202 37812143 75624286 113436429 226872858 603690421 1207380842 1811071263 3622142526 17507022209 35014044418 52521066627 105042133254