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11000022000 = 2435311166667
BaseRepresentation
bin10100011111010011…
…10000001111110000
31001101121111000102020
422033221300033300
5140012001201000
65015304351440
7536406433662
oct121751601760
931347430366
1011000022000
114735253380
12216ba75580
131063c34676
14764cb8532
15445a95ba0
hex28fa703f0

11000022000 has 160 divisors (see below), whose sum is σ = 38688309504. Its totient is φ = 2666656000.

The previous prime is 11000021971. The next prime is 11000022037. The reversal of 11000022000 is 22000011.

It is a happy number.

11000022000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

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 self number, because there is not a number n which added to its sum of digits gives 11000022000.

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 31 ways as a sum of consecutive naturals, for example, 17334 + ... + 149333.

Almost surely, 211000022000 is an apocalyptic number.

11000022000 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 11000022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19344154752).

11000022000 is an abundant number, since it is smaller than the sum of its proper divisors (27688287504).

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

11000022000 is a wasteful number, since it uses less digits than its factorization.

11000022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166704 (or 166688 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 11000022000 its reverse (22000011), we get a palindrome (11022022011).

The spelling of 11000022000 in words is "eleven billion, twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 22000 33000 66000 166667 333334 500001 666668 833335 1000002 1333336 1666670 1833337 2000004 2500005 2666672 3333340 3666674 4000008 4166675 5000010 5500011 6666680 7333348 8000016 8333350 9166685 10000020 11000022 12500025 13333360 14666696 16666700 18333370 20000040 20833375 22000044 25000050 27500055 29333392 33333400 36666740 40000080 41666750 44000088 45833425 50000100 55000110 62500125 66666800 73333480 83333500 88000176 91666850 100000200 110000220 125000250 137500275 146666960 166667000 183333700 200000400 220000440 229167125 250000500 275000550 333334000 366667400 440000880 458334250 500001000 550001100 687501375 733334800 916668500 1000002000 1100002200 1375002750 1833337000 2200004400 2750005500 3666674000 5500011000 11000022000