Search a number
-
+
1011110000052 = 223598391702171
BaseRepresentation
bin11101011011010101101…
…10100011010110110100
310120122211222211220102110
432231222312203112310
5113031223130000202
62052255244211020
7133023151123515
oct16555266432664
93518758756373
101011110000052
1135a89a265419
12143b62839a70
1374468c28579
1436d1bb8ca0c
151b47bcd326c
hexeb6ada35b4

1011110000052 has 48 divisors (see below), whose sum is σ = 2402105126400. Its totient is φ = 330929082720.

The previous prime is 1011110000009. The next prime is 1011110000053. The reversal of 1011110000052 is 2500000111101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1011109999992 and 1011110000037.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011110000053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257074 + ... + 1445097.

It is an arithmetic number, because the mean of its divisors is an integer number (50043856800).

Almost surely, 21011110000052 is an apocalyptic number.

1011110000052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1011110000052 is an abundant number, since it is smaller than the sum of its proper divisors (1390995126348).

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

1011110000052 is a wasteful number, since it uses less digits than its factorization.

1011110000052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703076 (or 1703074 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 12.

Adding to 1011110000052 its reverse (2500000111101), we get a palindrome (3511110111153).

The spelling of 1011110000052 in words is "one trillion, eleven billion, one hundred ten million, fifty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 59 118 177 236 354 708 839 1678 2517 3356 5034 10068 49501 99002 148503 198004 297006 594012 1702171 3404342 5106513 6808684 10213026 20426052 100428089 200856178 301284267 401712356 602568534 1205137068 1428121469 2856242938 4284364407 5712485876 8568728814 17137457628 84259166671 168518333342 252777500013 337036666684 505555000026 1011110000052