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100132221200 = 24521139235801
BaseRepresentation
bin101110101000001011…
…0000111000100010000
3100120110101102212122012
41131100112013010100
53120032322034300
6114000005002052
710143240560024
oct1352026070420
9316411385565
10100132221200
1139514034920
12174a60b3328
13959a02523b
144bbc83c384
152910b56435
hex1750587110

100132221200 has 120 divisors (see below), whose sum is σ = 262549597536. Its totient is φ = 36396160000.

The previous prime is 100132221173. The next prime is 100132221221. The reversal of 100132221200 is 2122231001.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17258300 + ... + 17264100.

Almost surely, 2100132221200 is an apocalyptic number.

100132221200 is a gapful number since it is divisible by the number (10) 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 100132221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131274798768).

100132221200 is an abundant number, since it is smaller than the sum of its proper divisors (162417376336).

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

100132221200 is a wasteful number, since it uses less digits than its factorization.

100132221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9753 (or 9742 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 100132221200 its reverse (2122231001), we get a palindrome (102254452201).

The spelling of 100132221200 in words is "one hundred billion, one hundred thirty-two million, two hundred twenty-one 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 3923 4400 5801 7846 11602 15692 19615 23204 29005 31384 39230 43153 46408 58010 62768 63811 78460 86306 92816 98075 116020 127622 145025 156920 172612 196150 215765 232040 255244 290050 313840 319055 345224 392300 431530 464080 510488 580100 638110 690448 784600 863060 1020976 1078825 1160200 1276220 1569200 1595275 1726120 2157650 2320400 2552440 3190550 3452240 4315300 5104880 6381100 8630600 12762200 17261200 22757323 25524400 45514646 91029292 113786615 182058584 227573230 250330553 364117168 455146460 500661106 568933075 910292920 1001322212 1137866150 1251652765 1820585840 2002644424 2275732300 2503305530 4005288848 4551464600 5006611060 6258263825 9102929200 10013222120 12516527650 20026444240 25033055300 50066110600 100132221200