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1311241466331 = 375477109469
BaseRepresentation
bin10011000101001100000…
…101001111000111011011
311122100112200011010000000
4103011030011033013123
5132440410303410311
62442213115144043
7163506533364606
oct23051405170733
94570480133000
101311241466331
11466104695235
12192164145023
139685a067174
144767055333d
1524195cb0056
hex1314c14f1db

1311241466331 has 32 divisors (see below), whose sum is σ = 1966939444800. Its totient is φ = 873993387744.

The previous prime is 1311241466329. The next prime is 1311241466369. The reversal of 1311241466331 is 1336641421131.

1311241466331 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 2 + 4 + 14 + 6 + 633 + 1 = 666.

It is not a de Polignac number, because 1311241466331 - 21 = 1311241466329 is a prime.

It is a super-2 number, since 2×13112414663312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1311241466131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11923465 + ... + 12032933.

It is an arithmetic number, because the mean of its divisors is an integer number (61466857650).

Almost surely, 21311241466331 is an apocalyptic number.

1311241466331 is a deficient number, since it is larger than the sum of its proper divisors (655697978469).

1311241466331 is an frugal number, since it uses more digits than its factorization.

1311241466331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114967 (or 114949 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

Adding to 1311241466331 its reverse (1336641421131), we get a palindrome (2647882887462).

The spelling of 1311241466331 in words is "one trillion, three hundred eleven billion, two hundred forty-one million, four hundred sixty-six thousand, three hundred thirty-one".

Divisors: 1 3 9 27 81 243 729 2187 5477 16431 49293 109469 147879 328407 443637 985221 1330911 2955663 3992733 8866989 11978199 26600967 79802901 239408703 599561713 1798685139 5396055417 16188166251 48564498753 145693496259 437080488777 1311241466331