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9900999900 = 22335211333367
BaseRepresentation
bin10010011100010010…
…10100010011011100
3221120000110220112000
421032021110103130
5130234123444100
64314244442300
7500233052631
oct111611242334
927500426460
109900999900
114220946850
121b039a9390
13c1a336b2c
1469cd52188
153ce354900
hex24e2544dc

9900999900 has 144 divisors (see below), whose sum is σ = 34723610880. Its totient is φ = 2400235200.

The previous prime is 9900999893. The next prime is 9900999929. The reversal of 9900999900 is 99990099.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136984 + ... + 196383.

Almost surely, 29900999900 is an apocalyptic number.

9900999900 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9900999900 is an abundant number, since it is smaller than the sum of its proper divisors (24822610980).

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

9900999900 is a wasteful number, since it uses less digits than its factorization.

9900999900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333401 (or 333388 counting only the distinct ones).

The product of its (nonzero) digits is 531441, while the sum is 54.

The square root of 9900999900 is about 99503.7682703525. The cubic root of 9900999900 is about 2147.3014566340.

It can be divided in two parts, 990099 and 9900, that added together give a palindrome (999999).

The spelling of 9900999900 in words is "nine billion, nine hundred million, nine hundred ninety-nine thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 27 30 33 36 44 45 50 54 55 60 66 75 90 99 100 108 110 132 135 150 165 180 198 220 225 270 275 297 300 330 396 450 495 540 550 594 660 675 825 900 990 1100 1188 1350 1485 1650 1980 2475 2700 2970 3300 4950 5940 7425 9900 14850 29700 333367 666734 1000101 1333468 1666835 2000202 3000303 3333670 3667037 4000404 5000505 6000606 6667340 7334074 8334175 9000909 10001010 11001111 12001212 14668148 15001515 16668350 18001818 18335185 20002020 22002222 25002525 30003030 33003333 33336700 36003636 36670370 44004444 45004545 50005050 55005555 60006060 66006666 73340740 75007575 90009090 91675925 99009999 100010100 110011110 132013332 150015150 165016665 180018180 183351850 198019998 220022220 225022725 275027775 300030300 330033330 366703700 396039996 450045450 495049995 550055550 660066660 825083325 900090900 990099990 1100111100 1650166650 1980199980 2475249975 3300333300 4950499950 9900999900