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2201331100 = 2252172112791
BaseRepresentation
bin1000001100110101…
…1010010110011100
312200102012012120111
42003031122112130
514002020043400
61002234055404
7105360001633
oct20315322634
95612165514
102201331100
11a2a659701
1251527a564
132910a94a7
1416c50651a
15cd3d13ba
hex8335a59c

2201331100 has 36 divisors (see below), whose sum is σ = 4780037808. Its totient is φ = 879952000.

The previous prime is 2201331047. The next prime is 2201331107. The reversal of 2201331100 is 11331022.

It is a super-2 number, since 2×22013311002 = 9691717223654420000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201331107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 165705 + ... + 178495.

It is an arithmetic number, because the mean of its divisors is an integer number (132778828).

Almost surely, 22201331100 is an apocalyptic number.

2201331100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2201331100 is an abundant number, since it is smaller than the sum of its proper divisors (2578706708).

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

2201331100 is a wasteful number, since it uses less digits than its factorization.

2201331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14526 (or 14519 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 2201331100 is about 46918.3450262261. The cubic root of 2201331100 is about 1300.8536996146.

Adding to 2201331100 its reverse (11331022), we get a palindrome (2212662122).

The spelling of 2201331100 in words is "two billion, two hundred one million, three hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1721 3442 6884 8605 12791 17210 25582 34420 43025 51164 63955 86050 127910 172100 255820 319775 639550 1279100 22013311 44026622 88053244 110066555 220133110 440266220 550332775 1100665550 2201331100