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11002222000 = 245371171443
BaseRepresentation
bin10100011111100100…
…01001010110110000
31001101202121210020201
422033302021112300
5140013032101000
65015423444544
7536434225660
oct121762112660
931352553221
1011002222000
114736516260
122170756754
131064524b43
147652cc1a0
15445d7c96a
hex28fc895b0

11002222000 has 160 divisors (see below), whose sum is σ = 33168305664. Its totient is φ = 3429216000.

The previous prime is 11002221977. The next prime is 11002222009. The reversal of 11002222000 is 22220011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (11002222009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118279 + ... + 189721.

Almost surely, 211002222000 is an apocalyptic number.

11002222000 is a gapful number since it is divisible by the number (10) 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 11002222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16584152832).

11002222000 is an abundant number, since it is smaller than the sum of its proper divisors (22166083664).

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

11002222000 is a wasteful number, since it uses less digits than its factorization.

11002222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71484 (or 71468 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 11002222000 its reverse (22220011), we get a palindrome (11024442011).

It can be divided in two parts, 1 and 1002222000, that added together give a palindrome (1002222001).

The spelling of 11002222000 in words is "eleven billion, two million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 25 28 35 40 44 50 55 56 70 77 80 88 100 110 112 125 140 154 175 176 200 220 250 275 280 308 350 385 400 440 500 550 560 616 700 770 875 880 1000 1100 1232 1375 1400 1540 1750 1925 2000 2200 2750 2800 3080 3500 3850 4400 5500 6160 7000 7700 9625 11000 14000 15400 19250 22000 30800 38500 71443 77000 142886 154000 285772 357215 500101 571544 714430 785873 1000202 1143088 1428860 1571746 1786075 2000404 2500505 2857720 3143492 3572150 3929365 4000808 5001010 5501111 5715440 6286984 7144300 7858730 8001616 8930375 10002020 11002222 12502525 12573968 14288600 15717460 17860750 19646825 20004040 22004444 25005050 27505555 28577200 31434920 35721500 39293650 40008080 44008888 50010100 55011110 62512625 62869840 71443000 78587300 88017776 98234125 100020200 110022220 125025250 137527775 142886000 157174600 196468250 200040400 220044440 250050500 275055550 314349200 392936500 440088880 500101000 550111100 687638875 785873000 1000202000 1100222200 1375277750 1571746000 2200444400 2750555500 5501111000 11002222000