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1331313012 = 223261959743
BaseRepresentation
bin100111101011010…
…0011100101110100
310102210002201010100
41033112203211310
510211304004022
6340034354100
744663655021
oct11726434564
93383081110
101331313012
11623545197
12311a2b930
13182a7c7a3
14c8b52548
157bd281ac
hex4f5a3974

1331313012 has 36 divisors (see below), whose sum is σ = 3370756480. Its totient is φ = 443046672.

The previous prime is 1331312953. The next prime is 1331313013. The reversal of 1331313012 is 2103131331.

It is a happy number.

1331313012 is a `hidden beast` number, since 1 + 331 + 31 + 301 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331313013) 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 11 ways as a sum of consecutive naturals, for example, 7588 + ... + 52155.

Almost surely, 21331313012 is an apocalyptic number.

1331313012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1331313012 is an abundant number, since it is smaller than the sum of its proper divisors (2039443468).

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

1331313012 is a wasteful number, since it uses less digits than its factorization.

1331313012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60372 (or 60367 counting only the distinct ones).

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

The square root of 1331313012 is about 36487.1622903179. The cubic root of 1331313012 is about 1100.0862224425.

Adding to 1331313012 its reverse (2103131331), we get a palindrome (3434444343).

The spelling of 1331313012 in words is "one billion, three hundred thirty-one million, three hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 619 1238 1857 2476 3714 5571 7428 11142 22284 59743 119486 179229 238972 358458 537687 716916 1075374 2150748 36980917 73961834 110942751 147923668 221885502 332828253 443771004 665656506 1331313012