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11001122000 = 2453111014951
BaseRepresentation
bin10100011111011011…
…11100110011010000
31001101200112220022222
422033231330303100
5140012241401000
65015344120212
7536421664661
oct121755746320
931350486288
1011001122000
114735934870
122170306068
13106422b25b
147650c3368
15445c11a85
hex28fb7ccd0

11001122000 has 160 divisors (see below), whose sum is σ = 29312195328. Its totient is φ = 3960000000.

The previous prime is 11001121979. The next prime is 11001122029. The reversal of 11001122000 is 22110011.

It is a Harshad number since it is a multiple of its sum of digits (8).

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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2219525 + ... + 2224475.

Almost surely, 211001122000 is an apocalyptic number.

11001122000 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 11001122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14656097664).

11001122000 is an abundant number, since it is smaller than the sum of its proper divisors (18311073328).

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

11001122000 is a wasteful number, since it uses less digits than its factorization.

11001122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5086 (or 5070 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 11001122000 its reverse (22110011), we get a palindrome (11023232011).

The spelling of 11001122000 in words is "eleven billion, one million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 101 110 125 176 200 202 220 250 275 400 404 440 500 505 550 808 880 1000 1010 1100 1111 1375 1616 2000 2020 2200 2222 2525 2750 4040 4400 4444 4951 5050 5500 5555 8080 8888 9902 10100 11000 11110 12625 17776 19804 20200 22000 22220 24755 25250 27775 39608 40400 44440 49510 50500 54461 55550 79216 88880 99020 101000 108922 111100 123775 138875 198040 202000 217844 222200 247550 272305 277750 396080 435688 444400 495100 500051 544610 555500 618875 871376 990200 1000102 1089220 1111000 1237750 1361525 1980400 2000204 2178440 2222000 2475500 2500255 2723050 4000408 4356880 4951000 5000510 5446100 5500561 6807625 8000816 9902000 10001020 10892200 11001122 12501275 13615250 20002040 21784400 22002244 25002550 27230500 27502805 40004080 44004488 50005100 54461000 55005610 62506375 88008976 100010200 108922000 110011220 125012750 137514025 200020400 220022440 250025500 275028050 440044880 500051000 550056100 687570125 1000102000 1100112200 1375140250 2200224400 2750280500 5500561000 11001122000