Search a number
-
+
1011001000110 = 235139247797879
BaseRepresentation
bin11101011011001000101…
…10110000000010101110
310120122120101202010121120
432231210112300002232
5113031012224000420
62052240352041410
7133020355465443
oct16554426600256
93518511663546
101011001000110
1135a843787122
12143b32233266
137444c48346a
1436d0b4d79ca
151b472451d40
hexeb645b00ae

1011001000110 has 64 divisors (see below), whose sum is σ = 2444870131200. Its totient is φ = 267549904512.

The previous prime is 1011001000099. The next prime is 1011001000199. The reversal of 1011001000110 is 110001001101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 10280151 + ... + 10378029.

It is an arithmetic number, because the mean of its divisors is an integer number (38201095800).

Almost surely, 21011001000110 is an apocalyptic number.

1011001000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1011001000110 is an abundant number, since it is smaller than the sum of its proper divisors (1433869131090).

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

1011001000110 is a wasteful number, since it uses less digits than its factorization.

1011001000110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100505.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1011001000110 its reverse (110001001101), we get a palindrome (1121002001211).

Subtracting from 1011001000110 its reverse (110001001101), we obtain a palindrome (900999999009).

The spelling of 1011001000110 in words is "one trillion, eleven billion, one million, one hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 30 139 278 417 695 834 1390 2085 2477 4170 4954 7431 12385 14862 24770 37155 74310 97879 195758 293637 344303 489395 587274 688606 978790 1032909 1468185 1721515 2065818 2936370 3443030 5164545 10329090 13605181 27210362 40815543 68025905 81631086 136051810 204077715 242446283 408155430 484892566 727338849 1212231415 1454677698 2424462830 3636694245 7273388490 33700033337 67400066674 101100100011 168500166685 202200200022 337000333370 505500500055 1011001000110