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2203113100 = 2252593131193
BaseRepresentation
bin1000001101010000…
…1101011010001100
312200112112202000111
42003110031122030
514002444104400
61002340205404
7105411103156
oct20324153214
95615482014
102203113100
11a30666531
12515999864
13291581626
1416c84bad6
15cd6343ba
hex8350d68c

2203113100 has 72 divisors (see below), whose sum is σ = 4881406320. Its totient is φ = 862817280.

The previous prime is 2203113097. The next prime is 2203113131. The reversal of 2203113100 is 13113022.

It is a super-2 number, since 2×22031131002 = 9707414662783220000, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 1846104 + ... + 1847296.

It is an arithmetic number, because the mean of its divisors is an integer number (67797310).

Almost surely, 22203113100 is an apocalyptic number.

2203113100 is a gapful number since it is divisible by the number (20) 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 2203113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2440703160).

2203113100 is an abundant number, since it is smaller than the sum of its proper divisors (2678293220).

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

2203113100 is a wasteful number, since it uses less digits than its factorization.

2203113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579 (or 1572 counting only the distinct ones).

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

The square root of 2203113100 is about 46937.3316241987. The cubic root of 2203113100 is about 1301.2046230566.

Adding to 2203113100 its reverse (13113022), we get a palindrome (2216226122).

The spelling of 2203113100 in words is "two billion, two hundred three million, one hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 59 100 118 236 295 313 590 626 1180 1193 1252 1475 1565 2386 2950 3130 4772 5900 5965 6260 7825 11930 15650 18467 23860 29825 31300 36934 59650 70387 73868 92335 119300 140774 184670 281548 351935 369340 373409 461675 703870 746818 923350 1407740 1493636 1759675 1846700 1867045 3519350 3734090 7038700 7468180 9335225 18670450 22031131 37340900 44062262 88124524 110155655 220311310 440622620 550778275 1101556550 2203113100