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13331001322320 = 24351131162891023
BaseRepresentation
bin1100000111111101110110…
…0110010010101101010000
31202012102122101212220101120
43001333131212102231100
53221403342314303240
644204102155402240
72544063432411663
oct301773546225520
952172571786346
1013331001322320
11427a711787330
1215b3779453380
13759153460116
1434131c5856da
15181b83812ad0
hexc1fdd992b50

13331001322320 has 160 divisors (see below), whose sum is σ = 46537313992704. Its totient is φ = 3127507622400.

The previous prime is 13331001322313. The next prime is 13331001322357. The reversal of 13331001322320 is 2322310013331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81363672 + ... + 81527351.

Almost surely, 213331001322320 is an apocalyptic number.

13331001322320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13331001322320 is an abundant number, since it is smaller than the sum of its proper divisors (33206312670384).

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

13331001322320 is a wasteful number, since it uses less digits than its factorization.

13331001322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162891081 (or 162891075 counting only the distinct ones).

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

Adding to 13331001322320 its reverse (2322310013331), we get a palindrome (15653311335651).

The spelling of 13331001322320 in words is "thirteen trillion, three hundred thirty-one billion, one million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 31 33 40 44 48 55 60 62 66 80 88 93 110 120 124 132 155 165 176 186 220 240 248 264 310 330 341 372 440 465 496 528 620 660 682 744 880 930 1023 1240 1320 1364 1488 1705 1860 2046 2480 2640 2728 3410 3720 4092 5115 5456 6820 7440 8184 10230 13640 16368 20460 27280 40920 81840 162891023 325782046 488673069 651564092 814455115 977346138 1303128184 1628910230 1791801253 1954692276 2443365345 2606256368 3257820460 3583602506 3909384552 4886730690 5049621713 5375403759 6515640920 7167205012 7818769104 8959006265 9773461380 10099243426 10750807518 13031281840 14334410024 15148865139 17918012530 19546922760 20198486852 21501615036 25248108565 26877018795 28668820048 30297730278 35836025060 39093845520 40396973704 43003230072 50496217130 53754037590 55545838843 60595460556 71672050120 75744325695 80793947408 86006460144 100992434260 107508075180 111091677686 121190921112 143344100240 151488651390 166637516529 201984868520 215016150360 222183355372 242381842224 277729194215 302977302780 333275033058 403969737040 430032300720 444366710744 555458388430 605954605560 666550066116 833187582645 888733421488 1110916776860 1211909211120 1333100132232 1666375165290 2221833553720 2666200264464 3332750330580 4443667107440 6665500661160 13331001322320