Search a number
-
+
1230003131013 = 331033791166987
BaseRepresentation
bin10001111001100001111…
…001100101001010000101
311100120212000220002022000
4101321201321211022011
5130123021300143023
62341020003455513
7154602424052136
oct21714171451205
94316760802260
101230003131013
11434706779538
1217a471687599
138bcb1507c77
1443765149c8d
1521eddc32243
hex11e61e65285

1230003131013 has 32 divisors (see below), whose sum is σ = 1844774630400. Its totient is φ = 809897619888.

The previous prime is 1230003131009. The next prime is 1230003131033. The reversal of 1230003131013 is 3101313000321.

It is a happy number.

1230003131013 is a `hidden beast` number, since 12 + 300 + 0 + 31 + 310 + 13 = 666.

It is not a de Polignac number, because 1230003131013 - 22 = 1230003131009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230003131033) 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 31 ways as a sum of consecutive naturals, for example, 470506 + ... + 1637492.

It is an arithmetic number, because the mean of its divisors is an integer number (57649207200).

Almost surely, 21230003131013 is an apocalyptic number.

It is an amenable number.

1230003131013 is a deficient number, since it is larger than the sum of its proper divisors (614771499387).

1230003131013 is a wasteful number, since it uses less digits than its factorization.

1230003131013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167478 (or 1167472 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1230003131013 its reverse (3101313000321), we get a palindrome (4331316131334).

The spelling of 1230003131013 in words is "one trillion, two hundred thirty billion, three million, one hundred thirty-one thousand, thirteen".

Divisors: 1 3 9 27 103 309 379 927 1137 2781 3411 10233 39037 117111 351333 1053999 1166987 3500961 10502883 31508649 120199661 360598983 442288073 1081796949 1326864219 3245390847 3980592657 11941777971 45555671519 136667014557 410001043671 1230003131013