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1335213204 = 22313231971889
BaseRepresentation
bin100111110010101…
…1011110010010100
310110001102212011220
41033211123302110
510213303310304
6340254130340
745042060603
oct11745336224
93401385156
101335213204
11625769496
123131b09b0
13183816ab0
14c9489a3a
157c348ad9
hex4f95bc94

1335213204 has 96 divisors (see below), whose sum is σ = 3520661760. Its totient is φ = 390770688.

The previous prime is 1335213203. The next prime is 1335213221. The reversal of 1335213204 is 4023125331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1335213203) 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 31 ways as a sum of consecutive naturals, for example, 705892 + ... + 707780.

It is an arithmetic number, because the mean of its divisors is an integer number (36673560).

Almost surely, 21335213204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1335213204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760330880).

1335213204 is an abundant number, since it is smaller than the sum of its proper divisors (2185448556).

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

1335213204 is a wasteful number, since it uses less digits than its factorization.

1335213204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2129 (or 2127 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 1335213204 is about 36540.5692894897. The cubic root of 1335213204 is about 1101.1594397382.

Adding to 1335213204 its reverse (4023125331), we get a palindrome (5358338535).

The spelling of 1335213204 in words is "one billion, three hundred thirty-five million, two hundred thirteen thousand, two hundred four".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 197 276 299 394 591 598 788 897 1182 1196 1794 1889 2364 2561 3588 3778 4531 5122 5667 7556 7683 9062 10244 11334 13593 15366 18124 22668 24557 27186 30732 43447 49114 54372 58903 73671 86894 98228 117806 130341 147342 173788 176709 235612 260682 294684 353418 372133 521364 564811 706836 744266 1116399 1129622 1488532 1694433 2232798 2259244 3388866 4465596 4837729 6777732 8559059 9675458 14513187 17118118 19350916 25677177 29026374 34236236 51354354 58052748 102708708 111267767 222535534 333803301 445071068 667606602 1335213204