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11122002000 = 243353205963
BaseRepresentation
bin10100101101110110…
…00100100001010000
31001201010000020112000
422112323010201100
5140234213031000
65035343034000
7542420312544
oct122673044120
931633006460
1011122002000
11479809779a
1221a489b900
1310832a2895
1477718ba24
1545163d000
hex296ec4850

11122002000 has 160 divisors (see below), whose sum is σ = 39841676160. Its totient is φ = 2965852800.

The previous prime is 11122001999. The next prime is 11122002113. The reversal of 11122002000 is 20022111.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48982 + ... + 156981.

It is an arithmetic number, because the mean of its divisors is an integer number (249010476).

Almost surely, 211122002000 is an apocalyptic number.

11122002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11122002000 is an abundant number, since it is smaller than the sum of its proper divisors (28719674160).

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

11122002000 is a wasteful number, since it uses less digits than its factorization.

11122002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205995 (or 205973 counting only the distinct ones).

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

Adding to 11122002000 its reverse (20022111), we get a palindrome (11142024111).

The spelling of 11122002000 in words is "eleven billion, one hundred twenty-two million, two thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 90 100 108 120 125 135 144 150 180 200 216 225 240 250 270 300 360 375 400 432 450 500 540 600 675 720 750 900 1000 1080 1125 1200 1350 1500 1800 2000 2160 2250 2700 3000 3375 3600 4500 5400 6000 6750 9000 10800 13500 18000 27000 54000 205963 411926 617889 823852 1029815 1235778 1647704 1853667 2059630 2471556 3089445 3295408 3707334 4119260 4943112 5149075 5561001 6178890 7414668 8238520 9268335 9886224 10298150 11122002 12357780 14829336 15447225 16477040 18536670 20596300 22244004 24715560 25745375 27805005 29658672 30894450 37073340 41192600 44488008 46341675 49431120 51490750 55610010 61788900 74146680 77236125 82385200 88976016 92683350 102981500 111220020 123577800 139025025 148293360 154472250 185366700 205963000 222440040 231708375 247155600 278050050 308944500 370733400 411926000 444880080 463416750 556100100 617889000 695125125 741466800 926833500 1112200200 1235778000 1390250250 1853667000 2224400400 2780500500 3707334000 5561001000 11122002000