Search a number
-
+
101212103013 = 375390936301
BaseRepresentation
bin101111001000010110…
…1100010000101100101
3100200020122102112222220
41132100231202011211
53124240244244023
6114255102342553
710212062452350
oct1362055420545
9320218375886
10101212103013
1139a1865902a
121774788aa59
13970c980a68
144c82021297
1529758663e3
hex1790b62165

101212103013 has 16 divisors (see below), whose sum is σ = 157137929856. Its totient is φ = 56744251200.

The previous prime is 101212103009. The next prime is 101212103017. The reversal of 101212103013 is 310301212101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101212103009) and next prime (101212103017).

It is not a de Polignac number, because 101212103013 - 22 = 101212103009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101212102983 and 101212103001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101212103017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45467038 + ... + 45469263.

It is an arithmetic number, because the mean of its divisors is an integer number (9821120616).

Almost surely, 2101212103013 is an apocalyptic number.

It is an amenable number.

101212103013 is a deficient number, since it is larger than the sum of its proper divisors (55925826843).

101212103013 is an equidigital number, since it uses as much as digits as its factorization.

101212103013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90936364.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 101212103013 its reverse (310301212101), we get a palindrome (411513315114).

The spelling of 101212103013 in words is "one hundred one billion, two hundred twelve million, one hundred three thousand, thirteen".

Divisors: 1 3 7 21 53 159 371 1113 90936301 272808903 636554107 1909662321 4819623953 14458871859 33737367671 101212103013