Search a number
-
+
1171104012 = 2232132502359
BaseRepresentation
bin100010111001101…
…1010000100001100
310000121122020200200
41011303122010030
54344300312022
6312112453500
741010135261
oct10563320414
93017566620
101171104012
1155106a861
1228824a290
13158817b70
14b176b268
156cc2dbac
hex45cda10c

1171104012 has 36 divisors (see below), whose sum is σ = 3188006640. Its totient is φ = 360339552.

The previous prime is 1171104001. The next prime is 1171104017. The reversal of 1171104012 is 2104011711.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×11711040122 = 2742969213844992288, which contains 22 as substring.

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 (1171104017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1250712 + ... + 1251647.

It is an arithmetic number, because the mean of its divisors is an integer number (88555740).

Almost surely, 21171104012 is an apocalyptic number.

1171104012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1171104012 is an abundant number, since it is smaller than the sum of its proper divisors (2016902628).

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

1171104012 is a wasteful number, since it uses less digits than its factorization.

1171104012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2502382 (or 2502377 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

The square root of 1171104012 is about 34221.3969907717. The cubic root of 1171104012 is about 1054.0595714943.

Adding to 1171104012 its reverse (2104011711), we get a palindrome (3275115723).

The spelling of 1171104012 in words is "one billion, one hundred seventy-one million, one hundred four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 2502359 5004718 7507077 10009436 15014154 22521231 30028308 32530667 45042462 65061334 90084924 97592001 130122668 195184002 292776003 390368004 585552006 1171104012