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100434032441 = 14915715232819
BaseRepresentation
bin101110110001001010…
…1011011011100111001
3100121020102100110211022
41131202111123130321
53121142103014231
6114045545512225
710153564122131
oct1354225333471
9317212313738
10100434032441
11396594360a6
121756b1a2675
139617708582
144c0a963ac1
15292c3c1c7b
hex176255b739

100434032441 has 16 divisors (see below), whose sum is σ = 101855016000. Its totient is φ = 99024339648.

The previous prime is 100434032383. The next prime is 100434032453. The reversal of 100434032441 is 144230434001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100434032441 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100434032441.

It is not an unprimeable number, because it can be changed into a prime (100434032341) 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, 35626130 + ... + 35628948.

It is an arithmetic number, because the mean of its divisors is an integer number (6365938500).

Almost surely, 2100434032441 is an apocalyptic number.

It is an amenable number.

100434032441 is a deficient number, since it is larger than the sum of its proper divisors (1420983559).

100434032441 is a wasteful number, since it uses less digits than its factorization.

100434032441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4648.

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 100434032441 its reverse (144230434001), we get a palindrome (244664466442).

The spelling of 100434032441 in words is "one hundred billion, four hundred thirty-four million, thirty-two thousand, four hundred forty-one".

Divisors: 1 149 157 1523 2819 23393 226927 239111 420031 442583 4293337 35627539 65944867 639707213 674053909 100434032441