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11122234002 = 232113110871667
BaseRepresentation
bin10100101101110111…
…11101001010010010
31001201010110000202200
422112323331022102
5140234242442002
65035352024030
7542422300125
oct122673751222
931633400680
1011122234002
114798236030
1221a4992016
131083354369
1477720c3bc
15451686b1c
hex296efd292

11122234002 has 96 divisors (see below), whose sum is σ = 27178205184. Its totient is φ = 3256696800.

The previous prime is 11122234001. The next prime is 11122234007. The reversal of 11122234002 is 20043222111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11122234001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6671173 + ... + 6672839.

It is an arithmetic number, because the mean of its divisors is an integer number (283106304).

Almost surely, 211122234002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11122234002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13589102592).

11122234002 is an abundant number, since it is smaller than the sum of its proper divisors (16055971182).

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

11122234002 is a wasteful number, since it uses less digits than its factorization.

11122234002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2804 (or 2801 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11122234002 its reverse (20043222111), we get a palindrome (31165456113).

The spelling of 11122234002 in words is "eleven billion, one hundred twenty-two million, two hundred thirty-four thousand, two".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 186 198 279 341 558 682 1023 1087 1667 2046 2174 3069 3261 3334 5001 6138 6522 9783 10002 11957 15003 18337 19566 23914 30006 33697 35871 36674 51677 55011 67394 71742 101091 103354 107613 110022 155031 165033 202182 215226 303273 310062 330066 370667 465093 568447 606546 741334 930186 1112001 1136894 1705341 1812029 2224002 3336003 3410682 3624058 5116023 5436087 6672006 10232046 10872174 16308261 19932319 32616522 39864638 56172899 59796957 112345798 119593914 168518697 179390871 337037394 358781742 505556091 617901889 1011112182 1235803778 1853705667 3707411334 5561117001 11122234002