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1331313210 = 232527495381
BaseRepresentation
bin100111101011010…
…0011101000111010
310102210002201101200
41033112203220322
510211304010320
6340034355030
744663655423
oct11726435072
93383081350
101331313210
11623545357
12311a2ba76
13182a7c8c6
14c8b5264a
157bd28290
hex4f5a3a3a

1331313210 has 48 divisors (see below), whose sum is σ = 3463317000. Its totient is φ = 354821760.

The previous prime is 1331313167. The next prime is 1331313233. The reversal of 1331313210 is 123131331.

It is a happy number.

1331313210 is a `hidden beast` number, since 1 + 331 + 313 + 21 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 687016521 + 644296689 = 26211^2 + 25383^2 .

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 244720 + ... + 250100.

Almost surely, 21331313210 is an apocalyptic number.

1331313210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1331313210 is an abundant number, since it is smaller than the sum of its proper divisors (2132003790).

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

1331313210 is a wasteful number, since it uses less digits than its factorization.

1331313210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8143 (or 8140 counting only the distinct ones).

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

The square root of 1331313210 is about 36487.1650036009. The cubic root of 1331313210 is about 1100.0862769794.

Adding to 1331313210 its reverse (123131331), we get a palindrome (1454444541).

The spelling of 1331313210 in words is "one billion, three hundred thirty-one million, three hundred thirteen thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 2749 5381 5498 8247 10762 13745 16143 16494 24741 26905 27490 32286 41235 48429 49482 53810 80715 82470 96858 123705 161430 242145 247410 484290 14792369 29584738 44377107 73961845 88754214 133131321 147923690 221885535 266262642 443771070 665656605 1331313210