Search a number
-
+
102211120012 = 2252149045643
BaseRepresentation
bin101111100110001000…
…0011110101110001100
3100202211021020212200111
41133030100132232030
53133312021320022
6114542151005404
710245613120351
oct1371420365614
9322737225614
10102211120012
113a390570311
1217986369864
13983b935691
144d38994628
1529d3401477
hex17cc41eb8c

102211120012 has 12 divisors (see below), whose sum is σ = 179212783176. Its totient is φ = 51007467680.

The previous prime is 102211120003. The next prime is 102211120021. The reversal of 102211120012 is 210021112201.

102211120012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (102211120003) and next prime (102211120021).

It is a super-3 number, since 3×1022111200123 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 102211119974 and 102211120001.

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 3 ways as a sum of consecutive naturals, for example, 24520738 + ... + 24524905.

It is an arithmetic number, because the mean of its divisors is an integer number (14934398598).

Almost surely, 2102211120012 is an apocalyptic number.

It is an amenable number.

102211120012 is a deficient number, since it is larger than the sum of its proper divisors (77001663164).

102211120012 is a wasteful number, since it uses less digits than its factorization.

102211120012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49046168 (or 49046166 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102211120012 its reverse (210021112201), we get a palindrome (312232232213).

The spelling of 102211120012 in words is "one hundred two billion, two hundred eleven million, one hundred twenty thousand, twelve".

Divisors: 1 2 4 521 1042 2084 49045643 98091286 196182572 25552780003 51105560006 102211120012