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10024300342001 = 118539091117517
BaseRepresentation
bin1001000111011111011011…
…0111000110101011110001
31022111022110201121112022002
42101313312313012223301
52303214231341421001
633153033333423345
72053142336010401
oct221676667065361
938438421545262
1010024300342001
1132153112346a0
12115a939a9ab55
1357939774220a
142692705ca801
15125b4d4ae46b
hex91df6dc6af1

10024300342001 has 16 divisors (see below), whose sum is σ = 10949718026688. Its totient is φ = 9101238148800.

The previous prime is 10024300341989. The next prime is 10024300342079.

10024300342001 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 10024300342001 - 226 = 10024233233137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10024300342081) 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, 85242095 + ... + 85359611.

It is an arithmetic number, because the mean of its divisors is an integer number (684357376668).

Almost surely, 210024300342001 is an apocalyptic number.

10024300342001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10024300342001 is a deficient number, since it is larger than the sum of its proper divisors (925417684687).

10024300342001 is a wasteful number, since it uses less digits than its factorization.

10024300342001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127472.

The product of its (nonzero) digits is 576, while the sum is 20.

It can be divided in two parts, 10024300 and 342001, that added together give a palindrome (10366301).

The spelling of 10024300342001 in words is "ten trillion, twenty-four billion, three hundred million, three hundred forty-two thousand, one".

Divisors: 1 11 853 9091 9383 100001 117517 1292687 7754623 85300853 100242001 1068347047 1102662011 11751817517 911300031091 10024300342001