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2099601900 = 22325211212081
BaseRepresentation
bin111110100100101…
…0110000111101100
312102022202211100100
41331021112013230
513244444230100
6544201431100
7103013215224
oct17511260754
95368684310
102099601900
11988196a90
124a719b490
13275cab8b6
1415cbc5084
15c44d9400
hex7d2561ec

2099601900 has 108 divisors (see below), whose sum is σ = 7179399864. Its totient is φ = 508992000.

The previous prime is 2099601899. The next prime is 2099601901. The reversal of 2099601900 is 91069902.

It is an interprime number because it is at equal distance from previous prime (2099601899) and next prime (2099601901).

It is a super-2 number, since 2×20996019002 = 8816656276967220000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2099601901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 96141 + ... + 115940.

Almost surely, 22099601900 is an apocalyptic number.

2099601900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2099601900 is an abundant number, since it is smaller than the sum of its proper divisors (5079797964).

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

2099601900 is a wasteful number, since it uses less digits than its factorization.

2099601900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212112 (or 212102 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 2099601900 is about 45821.4131165768. The cubic root of 2099601900 is about 1280.4982394663.

It can be divided in two parts, 2099601 and 900, that multiplied together give a square (1889640900 = 434702).

The spelling of 2099601900 in words is "two billion, ninety-nine million, six hundred one thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1650 1980 2475 3300 4950 9900 212081 424162 636243 848324 1060405 1272486 1908729 2120810 2332891 2544972 3181215 3817458 4241620 4665782 5302025 6362430 6998673 7634916 9331564 9543645 10604050 11664455 12724860 13997346 15906075 19087290 20996019 21208100 23328910 27994692 31812150 34993365 38174580 41992038 46657820 47718225 58322275 63624300 69986730 83984076 95436450 104980095 116644550 139973460 174966825 190872900 209960190 233289100 349933650 419920380 524900475 699867300 1049800950 2099601900