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1200530331 = 3272111319037
BaseRepresentation
bin100011110001110…
…1010001110011011
310002200000021000100
41013203222032123
54424313432311
6315043310443
741515224300
oct10743521633
93080007010
101200530331
11566739230
1229607b423
1316194b9a0
14b562b0a7
15705e2a56
hex478ea39b

1200530331 has 72 divisors (see below), whose sum is σ = 2370002544. Its totient is φ = 575648640.

The previous prime is 1200530329. The next prime is 1200530341. The reversal of 1200530331 is 1330350021.

It is not a de Polignac number, because 1200530331 - 21 = 1200530329 is a prime.

It is a super-2 number, since 2×12005303312 = 2882546151301939122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1200530311) 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 71 ways as a sum of consecutive naturals, for example, 53545 + ... + 72581.

It is an arithmetic number, because the mean of its divisors is an integer number (32916702).

Almost surely, 21200530331 is an apocalyptic number.

1200530331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1200530331 is a deficient number, since it is larger than the sum of its proper divisors (1169472213).

1200530331 is a wasteful number, since it uses less digits than its factorization.

1200530331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19081 (or 19071 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 1200530331 is about 34648.6699744738. The cubic root of 1200530331 is about 1062.8150907886.

Adding to 1200530331 its reverse (1330350021), we get a palindrome (2530880352).

The spelling of 1200530331 in words is "one billion, two hundred million, five hundred thirty thousand, three hundred thirty-one".

Divisors: 1 3 7 9 11 13 21 33 39 49 63 77 91 99 117 143 147 231 273 429 441 539 637 693 819 1001 1287 1617 1911 3003 4851 5733 7007 9009 19037 21021 57111 63063 133259 171333 209407 247481 399777 628221 742443 932813 1199331 1465849 1732367 1884663 2227329 2722291 2798439 4397547 5197101 8166873 8395317 10260943 12126569 13192641 15591303 19056037 24500619 30782829 36379707 57168111 92348487 109139121 133392259 171504333 400176777 1200530331