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13331331204 = 223291631971193
BaseRepresentation
bin11000110101001101…
…11111100010000100
31021102002020210102120
430122212333202010
5204300310044304
610042504405540
7651235305552
oct143246774204
937362223376
1013331331204
1157212094a4
1227007768b0
131345c1c679
14906776bd2
1553059e0d9
hex31a9bf884

13331331204 has 96 divisors (see below), whose sum is σ = 32568117120. Its totient is φ = 4239019008.

The previous prime is 13331331173. The next prime is 13331331241. The reversal of 13331331204 is 40213313331.

It is a happy number.

13331331204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 11174032 + ... + 11175224.

It is an arithmetic number, because the mean of its divisors is an integer number (339251220).

Almost surely, 213331331204 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 13331331204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16284058560).

13331331204 is an abundant number, since it is smaller than the sum of its proper divisors (19236785916).

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

13331331204 is a wasteful number, since it uses less digits than its factorization.

13331331204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 13331331204 its reverse (40213313331), we get a palindrome (53544644535).

The spelling of 13331331204 in words is "thirteen billion, three hundred thirty-one million, three hundred thirty-one thousand, two hundred four".

Divisors: 1 2 3 4 6 12 29 58 87 116 163 174 197 326 348 394 489 591 652 788 978 1182 1193 1956 2364 2386 3579 4727 4772 5713 7158 9454 11426 14181 14316 17139 18908 22852 28362 32111 34278 34597 56724 64222 68556 69194 96333 103791 128444 138388 192666 194459 207582 235021 385332 388918 415164 470042 583377 705063 777836 931219 940084 1166754 1410126 1862438 2333508 2793657 2820252 3724876 5587314 5639311 6815609 11174628 11278622 13631218 16917933 20446827 22557244 27262436 33835866 38308423 40893654 67671732 76616846 81787308 114925269 153233692 229850538 459701076 1110944267 2221888534 3332832801 4443777068 6665665602 13331331204