Search a number
-
+
1212122110013 = 171914992503469
BaseRepresentation
bin10001101000111000000…
…110111001100000111101
311021212200212121002202222
4101220320012321200331
5124324411230010023
62324501411255125
7153400341636443
oct21507006714075
94255625532688
101212122110013
11428070370831
12176b012aa4a5
138a3c1b34979
144294a450b93
15217e402bcc8
hex11a381b983d

1212122110013 has 16 divisors (see below), whose sum is σ = 1351873800000. Its totient is φ = 1080056178432.

The previous prime is 1212122110009. The next prime is 1212122110103. The reversal of 1212122110013 is 3100112212121.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1212122110013 - 22 = 1212122110009 is a prime.

It is a super-3 number, since 3×12121221100133 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1212122109973 and 1212122110000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1212122115013) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 767558 + ... + 1735911.

It is an arithmetic number, because the mean of its divisors is an integer number (84492112500).

Almost surely, 21212122110013 is an apocalyptic number.

It is an amenable number.

1212122110013 is a deficient number, since it is larger than the sum of its proper divisors (139751689987).

1212122110013 is a wasteful number, since it uses less digits than its factorization.

1212122110013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2505004.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 1212122110013 its reverse (3100112212121), we get a palindrome (4312234322134).

The spelling of 1212122110013 in words is "one trillion, two hundred twelve billion, one hundred twenty-two million, one hundred ten thousand, thirteen".

Divisors: 1 17 19 323 1499 25483 28481 484177 2503469 42558973 47565911 808620487 3752700031 63795900527 71301300589 1212122110013