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2201332100 = 2252112001211
BaseRepresentation
bin1000001100110101…
…1010100110000100
312200102012020221112
42003031122212010
514002020111400
61002234104152
7105360004562
oct20315324604
95612166845
102201332100
11a2a65a430
1251527b058
132910a9a96
1416c506a32
15cd3d1835
hex8335a984

2201332100 has 36 divisors (see below), whose sum is σ = 5211156048. Its totient is φ = 800484000.

The previous prime is 2201332097. The next prime is 2201332163. The reversal of 2201332100 is 12331022.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 999506 + ... + 1001705.

Almost surely, 22201332100 is an apocalyptic number.

2201332100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2201332100 is an abundant number, since it is smaller than the sum of its proper divisors (3009823948).

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

2201332100 is a wasteful number, since it uses less digits than its factorization.

2201332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001236 (or 2001229 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2201332100 is about 46918.3556830373. The cubic root of 2201332100 is about 1300.8538965944.

Adding to 2201332100 its reverse (12331022), we get a palindrome (2213663122).

The spelling of 2201332100 in words is "two billion, two hundred one million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 2001211 4002422 8004844 10006055 20012110 22013321 40024220 44026642 50030275 88053284 100060550 110066605 200121100 220133210 440266420 550333025 1100666050 2201332100