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1311003342 = 2321117338273
BaseRepresentation
bin100111000100100…
…0101001011001110
310101100212212111100
41032021011023032
510141104101332
6334031203530
744326226115
oct11611051316
93340785440
101311003342
11613033240
123070765a6
1317b7bb42c
14c6186c7c
157a16567c
hex4e2452ce

1311003342 has 48 divisors (see below), whose sum is σ = 3116728368. Its totient is φ = 394967040.

The previous prime is 1311003313. The next prime is 1311003367. The reversal of 1311003342 is 2433001131.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15118 + ... + 53390.

It is an arithmetic number, because the mean of its divisors is an integer number (64931841).

Almost surely, 21311003342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311003342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558364184).

1311003342 is an abundant number, since it is smaller than the sum of its proper divisors (1805725026).

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

1311003342 is a wasteful number, since it uses less digits than its factorization.

1311003342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38465 (or 38462 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1311003342 is about 36207.7801307951. The cubic root of 1311003342 is about 1094.4634589161.

Adding to 1311003342 its reverse (2433001131), we get a palindrome (3744004473).

The spelling of 1311003342 in words is "one billion, three hundred eleven million, three thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 173 198 346 519 1038 1557 1903 3114 3806 5709 11418 17127 34254 38273 76546 114819 229638 344457 421003 688914 842006 1263009 2526018 3789027 6621229 7578054 13242458 19863687 39727374 59591061 72833519 119182122 145667038 218500557 437001114 655501671 1311003342