Search a number
-
+
11120000268 = 22313196595693
BaseRepresentation
bin10100101101100110…
…11011110100001100
31001200222020112122210
422112303123310030
5140233210002033
65035232110420
7542364304566
oct122663336414
931628215583
1011120000268
114796a4a873
1221a4095410
131082a51720
14776bca336
15451394d63
hex296cdbd0c

11120000268 has 96 divisors (see below), whose sum is σ = 29463033600. Its totient is φ = 3235970304.

The previous prime is 11120000267. The next prime is 11120000273. The reversal of 11120000268 is 86200002111.

It is not an unprimeable number, because it can be changed into a prime (11120000267) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1950430 + ... + 1956122.

It is an arithmetic number, because the mean of its divisors is an integer number (306906600).

Almost surely, 211120000268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11120000268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14731516800).

11120000268 is an abundant number, since it is smaller than the sum of its proper divisors (18343033332).

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

11120000268 is a wasteful number, since it uses less digits than its factorization.

11120000268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6391 (or 6389 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 11120000268 its reverse (86200002111), we get a palindrome (97320002379).

The spelling of 11120000268 in words is "eleven billion, one hundred twenty million, two hundred sixty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 228 247 494 659 741 988 1318 1482 1977 2636 2964 3954 5693 7908 8567 11386 12521 17079 17134 22772 25042 25701 34158 34268 37563 50084 51402 68316 74009 75126 102804 108167 148018 150252 162773 216334 222027 296036 324501 325546 432668 444054 488319 649002 651092 888108 976638 1298004 1406171 1953276 2812342 3751687 4218513 5624684 7503374 8437026 11255061 15006748 16874052 22510122 45020244 48771931 71282053 97543862 142564106 146315793 195087724 213846159 285128212 292631586 427692318 585263172 855384636 926666689 1853333378 2780000067 3706666756 5560000134 11120000268