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1333210131 = 331147149641
BaseRepresentation
bin100111101110111…
…0010110000010011
310102220200002111000
41033131302300103
510212300211011
6340143153043
745016046001
oct11735626023
93386602430
101333210131
11624620560
123125a5783
13183295146
14c90c7a71
157c0a0356
hex4f772c13

1333210131 has 64 divisors (see below), whose sum is σ = 2218752000. Its totient is φ = 784281600.

The previous prime is 1333210129. The next prime is 1333210139. The reversal of 1333210131 is 1310123331.

It is a happy number.

It is not a de Polignac number, because 1333210131 - 21 = 1333210129 is a prime.

It is a super-2 number, since 2×13332101312 = 3554898506802074322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1333210139) 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 63 ways as a sum of consecutive naturals, for example, 2079571 + ... + 2080211.

It is an arithmetic number, because the mean of its divisors is an integer number (34668000).

Almost surely, 21333210131 is an apocalyptic number.

1333210131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1333210131 is a deficient number, since it is larger than the sum of its proper divisors (885541869).

1333210131 is a wasteful number, since it uses less digits than its factorization.

1333210131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 851 counting only the distinct ones).

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

The square root of 1333210131 is about 36513.1501106108. The cubic root of 1333210131 is about 1100.6085148255.

Adding to 1333210131 its reverse (1310123331), we get a palindrome (2643333462).

The spelling of 1333210131 in words is "one billion, three hundred thirty-three million, two hundred ten thousand, one hundred thirty-one".

Divisors: 1 3 9 11 27 33 47 99 141 149 297 423 447 517 641 1269 1341 1551 1639 1923 4023 4653 4917 5769 7003 7051 13959 14751 17307 21009 21153 30127 44253 63027 63459 77033 90381 95509 189081 190377 231099 271143 286527 331397 693297 813429 859581 994191 1050599 2079891 2578743 2982573 3151797 4488923 8947719 9455391 13466769 28366173 40400307 49378153 121200921 148134459 444403377 1333210131