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11000000106 = 2321932719833
BaseRepresentation
bin10100011111010011…
…01010111001101010
31001101121102220101100
422033221222321222
5140012000000411
65015304102230
7536406313104
oct121751527152
931347386340
1011000000106
114735238987
12216ba64976
131063c27704
14764cb0574
15445a8e456
hex28fa6ae6a

11000000106 has 48 divisors (see below), whose sum is σ = 25097941440. Its totient is φ = 3472269120.

The previous prime is 11000000101. The next prime is 11000000107. The reversal of 11000000106 is 60100000011.

It is a super-2 number, since 2×110000001062 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (11000000101) 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 23 ways as a sum of consecutive naturals, for example, 1113766 + ... + 1123598.

It is an arithmetic number, because the mean of its divisors is an integer number (522873780).

Almost surely, 211000000106 is an apocalyptic number.

11000000106 is an abundant number, since it is smaller than the sum of its proper divisors (14097941334).

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

11000000106 is a wasteful number, since it uses less digits than its factorization.

11000000106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13131 (or 13128 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 11000000106 its reverse (60100000011), we get a palindrome (71100000117).

The spelling of 11000000106 in words is "eleven billion, one hundred six", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 3271 6542 9813 9833 19626 19666 29439 29499 58878 58998 62149 88497 124298 176994 186447 186827 372894 373654 559341 560481 1118682 1120962 1681443 3362886 32163743 64327486 96491229 192982458 289473687 578947374 611111117 1222222234 1833333351 3666666702 5500000053 11000000106