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100440223324 = 22723168324203
BaseRepresentation
bin101110110001010110…
…1000010111001011100
3100121020212000000010021
41131202231002321130
53121200144121244
6114050330321524
710154000545300
oct1354255027134
9317225000107
10100440223324
1139661984431
12175712892a4
139618a9540c
144c0b6d5d00
15292cbe6284
hex1762b42e5c

100440223324 has 72 divisors (see below), whose sum is σ = 211381083648. Its totient is φ = 41594525280.

The previous prime is 100440223211. The next prime is 100440223339. The reversal of 100440223324 is 423322044001.

It is a happy number.

It is a super-2 number, since 2×1004402233242 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4137807 + ... + 4162009.

It is an arithmetic number, because the mean of its divisors is an integer number (2935848384).

Almost surely, 2100440223324 is an apocalyptic number.

100440223324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100440223324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105690541824).

100440223324 is an abundant number, since it is smaller than the sum of its proper divisors (110940860324).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100440223324 is a wasteful number, since it uses less digits than its factorization.

100440223324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24935 (or 24926 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 100440223324 its reverse (423322044001), we get a palindrome (523762267325).

The spelling of 100440223324 in words is "one hundred billion, four hundred forty million, two hundred twenty-three thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 28 31 49 62 98 124 196 217 434 683 868 1366 1519 2732 3038 4781 6076 9562 19124 21173 24203 33467 42346 48406 66934 84692 96812 133868 148211 169421 296422 338842 592844 677684 750293 1037477 1185947 1500586 2074954 2371894 3001172 4149908 4743788 5252051 10504102 16530649 21008204 33061298 36764357 66122596 73528714 115714543 147057428 231429086 462858172 512450119 810001801 1024900238 1620003602 2049800476 3240007204 3587150833 7174301666 14348603332 25110055831 50220111662 100440223324