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999999900 = 2232522394649
BaseRepresentation
bin111011100110101…
…100100110011100
32120200200020222100
4323212230212130
54021444444100
6243121245100
733531600414
oct7346544634
92520606870
10999999900
114735237a9
1223aa93790
1312c23a123
1496b4b644
155cbd1400
hex3b9ac99c

999999900 has 108 divisors (see below), whose sum is σ = 3148236000. Its totient is φ = 265493760.

The previous prime is 999999893. The next prime is 999999929. The reversal of 999999900 is 9999999.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

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, 212776 + ... + 217424.

Almost surely, 2999999900 is an apocalyptic number.

999999900 is a gapful number since it is divisible by the number (90) 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 999999900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574118000).

999999900 is an abundant number, since it is smaller than the sum of its proper divisors (2148236100).

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

999999900 is a wasteful number, since it uses less digits than its factorization.

999999900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4908 (or 4898 counting only the distinct ones).

The product of its (nonzero) digits is 4782969, while the sum is 63.

The square root of 999999900 is about 31622.7750205449. The cubic root of 999999900 is about 999.9999666667. Note that the first 4 decimals are identical.

999999900 divided by its reverse (9999999) gives a square (100 = 102).

It can be divided in two parts, 99 and 9999900, that added together give a palindrome (9999999).

The spelling of 999999900 in words is "nine hundred ninety-nine million, nine hundred ninety-nine thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 239 300 450 478 717 900 956 1195 1434 2151 2390 2868 3585 4302 4649 4780 5975 7170 8604 9298 10755 11950 13947 14340 17925 18596 21510 23245 23900 27894 35850 41841 43020 46490 53775 55788 69735 71700 83682 92980 107550 116225 139470 167364 209205 215100 232450 278940 348675 418410 464900 697350 836820 1046025 1111111 1394700 2092050 2222222 3333333 4184100 4444444 5555555 6666666 9999999 11111110 13333332 16666665 19999998 22222220 27777775 33333330 39999996 49999995 55555550 66666660 83333325 99999990 111111100 166666650 199999980 249999975 333333300 499999950 999999900