Search a number
-
+
1311314212124 = 227377431703563
BaseRepresentation
bin10011000101010000011…
…010101111010100011100
311122100201202000222110122
4103011100122233110130
5132441032414241444
62442224234254112
7163511405615510
oct23052032572434
94570652028418
101311314212124
11466141761224
12192184587338
139686c157707
144767a08c140
152419c37e4ee
hex131506af51c

1311314212124 has 48 divisors (see below), whose sum is σ = 2697137038848. Its totient is φ = 546066577728.

The previous prime is 1311314212073. The next prime is 1311314212133. The reversal of 1311314212124 is 4212124131131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1311314212093 and 1311314212102.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 82034 + ... + 1621529.

It is an arithmetic number, because the mean of its divisors is an integer number (56190354976).

Almost surely, 21311314212124 is an apocalyptic number.

1311314212124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1311314212124 is an abundant number, since it is smaller than the sum of its proper divisors (1385822826724).

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

1311314212124 is a wasteful number, since it uses less digits than its factorization.

1311314212124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704354 (or 1704352 counting only the distinct ones).

The product of its digits is 1152, while the sum is 26.

Adding to 1311314212124 its reverse (4212124131131), we get a palindrome (5523438343255).

The spelling of 1311314212124 in words is "one trillion, three hundred eleven billion, three hundred fourteen million, two hundred twelve thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 28 37 74 148 259 518 743 1036 1486 2972 5201 10402 20804 27491 54982 109964 192437 384874 769748 1703563 3407126 6814252 11924941 23849882 47699764 63031831 126063662 252127324 441222817 882445634 1265747309 1764891268 2531494618 5062989236 8860231163 17720462326 35440924652 46832650433 93665300866 187330601732 327828553031 655657106062 1311314212124