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99999663300 = 223252532096429
BaseRepresentation
bin101110100100001110…
…0011100010011000100
3100120010011000020101100
41131020130130103010
53114244403211200
6113534511500100
710140041053605
oct1351034342304
9316104006340
1099999663300
1139456226139
1217469827630
139578722404
144ba8db3dac
1529041bed00
hex174871c4c4

99999663300 has 108 divisors (see below), whose sum is σ = 319357567620. Its totient is φ = 26163421440.

The previous prime is 99999663299. The next prime is 99999663301. The reversal of 99999663300 is 336699999.

It is an interprime number because it is at equal distance from previous prime (99999663299) and next prime (99999663301).

It can be written as a sum of positive squares in 6 ways, for example, as 4255213824 + 95744449476 = 65232^2 + 309426^2 .

It is a super-2 number, since 2×999996633002 (a number of 23 digits) contains 22 as substring.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (99999663301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1000515 + ... + 1095914.

It is an arithmetic number, because the mean of its divisors is an integer number (2957014515).

Almost surely, 299999663300 is an apocalyptic number.

99999663300 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

99999663300 is an abundant number, since it is smaller than the sum of its proper divisors (219357904320).

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

99999663300 is a wasteful number, since it uses less digits than its factorization.

99999663300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2096502 (or 2096492 counting only the distinct ones).

The product of its (nonzero) digits is 19131876, while the sum is 63.

The spelling of 99999663300 in words is "ninety-nine billion, nine hundred ninety-nine million, six hundred sixty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 53 60 75 90 100 106 150 159 180 212 225 265 300 318 450 477 530 636 795 900 954 1060 1325 1590 1908 2385 2650 3180 3975 4770 5300 7950 9540 11925 15900 23850 47700 2096429 4192858 6289287 8385716 10482145 12578574 18867861 20964290 25157148 31446435 37735722 41928580 52410725 62892870 75471444 94339305 104821450 111110737 125785740 157232175 188678610 209642900 222221474 314464350 333332211 377357220 444442948 471696525 555553685 628928700 666664422 943393050 999996633 1111107370 1333328844 1666661055 1886786100 1999993266 2222214740 2777768425 3333322110 3999986532 4999983165 5555536850 6666644220 8333305275 9999966330 11111073700 16666610550 19999932660 24999915825 33333221100 49999831650 99999663300