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1331302230 = 23555310337
BaseRepresentation
bin100111101011010…
…0000111101010110
310102210002011100000
41033112200331112
510211303132410
6340034232130
744663611416
oct11726407526
93383064300
101331302230
11623538085
12311a25646
13182a778cb
14c8b4c646
157bd24dc0
hex4f5a0f56

1331302230 has 96 divisors (see below), whose sum is σ = 3657667104. Its totient is φ = 348281856.

The previous prime is 1331302229. The next prime is 1331302237. The reversal of 1331302230 is 322031331.

1331302230 is a `hidden beast` number, since 1 + 331 + 302 + 2 + 30 = 666.

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 (1331302237) 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 47 ways as a sum of consecutive naturals, for example, 123622 + ... + 133958.

It is an arithmetic number, because the mean of its divisors is an integer number (38100699).

Almost surely, 21331302230 is an apocalyptic number.

1331302230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331302230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828833552).

1331302230 is an abundant number, since it is smaller than the sum of its proper divisors (2326364874).

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

1331302230 is a wasteful number, since it uses less digits than its factorization.

1331302230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10412 (or 10400 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1331302230 is about 36487.0145394221. The cubic root of 1331302230 is about 1100.0832526521.

Adding to 1331302230 its reverse (322031331), we get a palindrome (1653333561).

The spelling of 1331302230 in words is "one billion, three hundred thirty-one million, three hundred two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 81 90 106 135 159 162 243 265 270 318 405 477 486 530 795 810 954 1215 1431 1590 2385 2430 2862 4293 4770 7155 8586 10337 12879 14310 20674 21465 25758 31011 42930 51685 62022 64395 93033 103370 128790 155055 186066 279099 310110 465165 547861 558198 837297 930330 1095722 1395495 1643583 1674594 2511891 2739305 2790990 3287166 4186485 4930749 5023782 5478610 8217915 8372970 9861498 12559455 14792247 16435830 24653745 25118910 29584494 44376741 49307490 73961235 88753482 133130223 147922470 221883705 266260446 443767410 665651115 1331302230