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100324413200 = 24521122801003
BaseRepresentation
bin101110101101111001…
…1010000111100010000
3100120221210002020111102
41131123303100330100
53120431022210300
6114031032203532
710151063304404
oct1353363207420
9316853066442
10100324413200
1139602574590
121753a5395a8
1395caaa760b
144bda18b104
15292296c0d5
hex175bcd0f10

100324413200 has 60 divisors (see below), whose sum is σ = 262941178128. Its totient is φ = 36481603200.

The previous prime is 100324413193. The next prime is 100324413209. The reversal of 100324413200 is 2314423001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (100324413209) 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 11 ways as a sum of consecutive naturals, for example, 11396102 + ... + 11404901.

Almost surely, 2100324413200 is an apocalyptic number.

100324413200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100324413200 is an abundant number, since it is smaller than the sum of its proper divisors (162616764928).

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

100324413200 is a wasteful number, since it uses less digits than its factorization.

100324413200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22801032 (or 22801021 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 100324413200 its reverse (2314423001), we get a palindrome (102638836201).

The spelling of 100324413200 in words is "one hundred billion, three hundred twenty-four million, four hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 22801003 45602006 91204012 114005015 182408024 228010030 250811033 364816048 456020060 501622066 570025075 912040120 1003244132 1140050150 1254055165 1824080240 2006488264 2280100300 2508110330 4012976528 4560200600 5016220660 6270275825 9120401200 10032441320 12540551650 20064882640 25081103300 50162206600 100324413200