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11020122000 = 243253612229
BaseRepresentation
bin10100100001101100…
…11011011110010000
31001110000022012102200
422100312123132100
5140032122401000
65021303243200
7540042330366
oct122066333620
931400265380
1011020122000
114745631848
122176749500
131068151464
1476782b636
15447716500
hex290d9b790

11020122000 has 120 divisors (see below), whose sum is σ = 38489675640. Its totient is φ = 2938694400.

The previous prime is 11020121989. The next prime is 11020122023. The reversal of 11020122000 is 22102011.

It can be written as a sum of positive squares in 4 ways, for example, as 130782096 + 10889339904 = 11436^2 + 104352^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 288115 + ... + 324114.

It is an arithmetic number, because the mean of its divisors is an integer number (320747297).

Almost surely, 211020122000 is an apocalyptic number.

11020122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11020122000 is an abundant number, since it is smaller than the sum of its proper divisors (27469553640).

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

11020122000 is a wasteful number, since it uses less digits than its factorization.

11020122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612258 (or 612239 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 11020122000 its reverse (22102011), we get a palindrome (11042224011).

The spelling of 11020122000 in words is "eleven billion, twenty million, one hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 720 750 900 1000 1125 1200 1500 1800 2000 2250 3000 3600 4500 6000 9000 18000 612229 1224458 1836687 2448916 3061145 3673374 4897832 5510061 6122290 7346748 9183435 9795664 11020122 12244580 14693496 15305725 18366870 22040244 24489160 27550305 29386992 30611450 36733740 44080488 45917175 48978320 55100610 61222900 73467480 76528625 88160976 91834350 110201220 122445800 137751525 146934960 153057250 183668700 220402440 229585875 244891600 275503050 306114500 367337400 440804880 459171750 551006100 612229000 688757625 734674800 918343500 1102012200 1224458000 1377515250 1836687000 2204024400 2755030500 3673374000 5510061000 11020122000