Search a number
-
+
102424322043011 = 415995827715727
BaseRepresentation
bin10111010010011110000101…
…010101001110110010000011
3111102122200002002221112220102
4113102132011111032302003
5101411110002420334021
61001501030045433015
730400625116406603
oct2722360525166203
9442580062845812
10102424322043011
112a6a9a02662251
12b5a262a26b76b
13451c758c5ca77
141b41513b70c03
15bc945959c00b
hex5d278554ec83

102424322043011 has 16 divisors (see below), whose sum is σ = 105115822156800. Its totient is φ = 99742086649920.

The previous prime is 102424322043007. The next prime is 102424322043019. The reversal of 102424322043011 is 110340223424201.

It is a cyclic number.

It is not a de Polignac number, because 102424322043011 - 22 = 102424322043007 is a prime.

It is a super-3 number, since 3×1024243220430113 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102424322043019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142747430 + ... + 143463156.

It is an arithmetic number, because the mean of its divisors is an integer number (6569738884800).

Almost surely, 2102424322043011 is an apocalyptic number.

102424322043011 is a deficient number, since it is larger than the sum of its proper divisors (2691500113789).

102424322043011 is an equidigital number, since it uses as much as digits as its factorization.

102424322043011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722194.

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 102424322043011 its reverse (110340223424201), we get a palindrome (212764545467212).

The spelling of 102424322043011 in words is "one hundred two trillion, four hundred twenty-four billion, three hundred twenty-two million, forty-three thousand, eleven".

Divisors: 1 41 599 5827 24559 238907 715727 3490373 29344807 143105293 428720473 4170541229 17577539393 170992190389 2498154196171 102424322043011