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100430301441 = 3192596723459
BaseRepresentation
bin101110110001000011…
…1001100100100000001
3100121020011022220212010
41131202013030210001
53121140124121231
6114045333523133
710153520322441
oct1354207144401
9317204286763
10100430301441
1139657317a28
1217569aa34a9
139616a00292
144c0a272121
15292bdd6546
hex17621cc901

100430301441 has 48 divisors (see below), whose sum is σ = 145872403200. Its totient is φ = 61421301216.

The previous prime is 100430301437. The next prime is 100430301443. The reversal of 100430301441 is 144103034001.

It is not a de Polignac number, because 100430301441 - 22 = 100430301437 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100430301443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4269370 + ... + 4292828.

It is an arithmetic number, because the mean of its divisors is an integer number (3039008400).

Almost surely, 2100430301441 is an apocalyptic number.

It is an amenable number.

100430301441 is a deficient number, since it is larger than the sum of its proper divisors (45442101759).

100430301441 is a wasteful number, since it uses less digits than its factorization.

100430301441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23626 (or 23607 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 100430301441 its reverse (144103034001), we get a palindrome (244533335442).

The spelling of 100430301441 in words is "one hundred billion, four hundred thirty million, three hundred one thousand, four hundred forty-one".

Divisors: 1 3 19 57 59 67 177 201 361 1083 1121 1273 3363 3819 3953 11859 21299 23459 24187 63897 70377 72561 75107 225321 445721 1337163 1384081 1427033 1571753 4152243 4281099 4715259 8468699 25406097 26297539 29863307 78892617 89589921 92733427 278200281 499653241 567402833 1498959723 1702208499 1761935113 5285805339 33476767147 100430301441