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100012436501 = 1093313276953
BaseRepresentation
bin101110100100100110…
…1001010110000010101
3100120011001001011220212
41131021031022300111
53114311140432001
6113540045335205
710140254453345
oct1351115126025
9316131034825
10100012436501
113946245a8aa
1217471b67505
13957b275313
144baa97ad25
1529053947bb
hex174934ac15

100012436501 has 8 divisors (see below), whose sum is σ = 100960811160. Its totient is φ = 99064622592.

The previous prime is 100012436477. The next prime is 100012436581. The reversal of 100012436501 is 105634210001.

It can be written as a sum of positive squares in 4 ways, for example, as 47089434001 + 52923002500 = 217001^2 + 230050^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100012436501 - 222 = 100008242197 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100012436581) 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 7 ways as a sum of consecutive naturals, for example, 222641 + ... + 499593.

It is an arithmetic number, because the mean of its divisors is an integer number (12620101395).

Almost surely, 2100012436501 is an apocalyptic number.

It is an amenable number.

100012436501 is a deficient number, since it is larger than the sum of its proper divisors (948374659).

100012436501 is a wasteful number, since it uses less digits than its factorization.

100012436501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280375.

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 100012436501 its reverse (105634210001), we get a palindrome (205646646502).

The spelling of 100012436501 in words is "one hundred billion, twelve million, four hundred thirty-six thousand, five hundred one".

Divisors: 1 109 3313 276953 361117 30187877 917545289 100012436501