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100434323401 = 372819979689
BaseRepresentation
bin101110110001001011…
…0100010011111001001
3100121020102220020221121
41131202112202133021
53121142141322101
6114050000035241
710153566443326
oct1354226423711
9317212806847
10100434323401
1139659614765
121756b302b21
1396177aab39
144c0a9dbb4d
15292c42d0a1
hex17625a27c9

100434323401 has 16 divisors (see below), whose sum is σ = 103630363920. Its totient is φ = 97264419840.

The previous prime is 100434323389. The next prime is 100434323413. The reversal of 100434323401 is 104323434001.

It is an interprime number because it is at equal distance from previous prime (100434323389) and next prime (100434323413).

It can be written as a sum of positive squares in 8 ways, for example, as 27264614400 + 73169709001 = 165120^2 + 270499^2 .

It is a cyclic number.

It is not a de Polignac number, because 100434323401 - 211 = 100434321353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100434323501) 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, 10360965 + ... + 10370653.

It is an arithmetic number, because the mean of its divisors is an integer number (6476897745).

Almost surely, 2100434323401 is an apocalyptic number.

It is an amenable number.

100434323401 is a deficient number, since it is larger than the sum of its proper divisors (3196040519).

100434323401 is an equidigital number, since it uses as much as digits as its factorization.

100434323401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11004.

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 100434323401 its reverse (104323434001), we get a palindrome (204757757402).

The spelling of 100434323401 in words is "one hundred billion, four hundred thirty-four million, three hundred twenty-three thousand, four hundred one".

Divisors: 1 37 281 997 9689 10397 36889 280157 358493 2722609 9659933 10365809 100736533 357417521 2714441173 100434323401