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11122133000 = 2353112343961
BaseRepresentation
bin10100101101110111…
…00100100000001000
31001201010020220012212
422112323210200020
5140234231224000
65035345524252
7542421366506
oct122673444010
931633226185
1011122133000
114798177160
1221a4943688
13108331a3b4
147771c3676
15451666c35
hex296ee4808

11122133000 has 128 divisors (see below), whose sum is σ = 29626871040. Its totient is φ = 3868480000.

The previous prime is 11122132997. The next prime is 11122133081. The reversal of 11122133000 is 33122111.

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, 231020 + ... + 274980.

It is an arithmetic number, because the mean of its divisors is an integer number (231459930).

Almost surely, 211122133000 is an apocalyptic number.

11122133000 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 11122133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14813435520).

11122133000 is an abundant number, since it is smaller than the sum of its proper divisors (18504738040).

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

11122133000 is a wasteful number, since it uses less digits than its factorization.

11122133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44016 (or 44002 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 11122133000 its reverse (33122111), we get a palindrome (11155255111).

The spelling of 11122133000 in words is "eleven billion, one hundred twenty-two million, one hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 23 25 40 44 46 50 55 88 92 100 110 115 125 184 200 220 230 250 253 275 440 460 500 506 550 575 920 1000 1012 1100 1150 1265 1375 2024 2200 2300 2530 2750 2875 4600 5060 5500 5750 6325 10120 11000 11500 12650 23000 25300 31625 43961 50600 63250 87922 126500 175844 219805 253000 351688 439610 483571 879220 967142 1011103 1099025 1758440 1934284 2022206 2198050 2417855 3868568 4044412 4396100 4835710 5055515 5495125 8088824 8792200 9671420 10111030 10990250 11122133 12089275 19342840 20222060 21980500 22244266 24178550 25277575 40444120 43961000 44488532 48357100 50555150 55610665 60446375 88977064 96714200 101110300 111221330 120892750 126387875 202220600 222442660 241785500 252775750 278053325 444885320 483571000 505551500 556106650 1011103000 1112213300 1390266625 2224426600 2780533250 5561066500 11122133000