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13333330020 = 22353120293533
BaseRepresentation
bin11000110101011101…
…00111100001100100
31021102020000100021210
430122232213201210
5204301313030040
610043015311420
7651261302163
oct143256474144
937366010253
1013333330020
11572235420a
12270137b570
13134646c3ba
14906b373da
15530846480
hex31aba7864

13333330020 has 96 divisors (see below), whose sum is σ = 38567531520. Its totient is φ = 3438190080.

The previous prime is 13333330019. The next prime is 13333330037. The reversal of 13333330020 is 2003333331.

13333330020 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, 3772174 + ... + 3775706.

It is an arithmetic number, because the mean of its divisors is an integer number (401745120).

Almost surely, 213333330020 is an apocalyptic number.

13333330020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13333330020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19283765760).

13333330020 is an abundant number, since it is smaller than the sum of its proper divisors (25234201500).

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

13333330020 is a wasteful number, since it uses less digits than its factorization.

13333330020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5605 (or 5603 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 21.

Adding to 13333330020 its reverse (2003333331), we get a palindrome (15336663351).

The spelling of 13333330020 in words is "thirteen billion, three hundred thirty-three million, three hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 2029 3533 4058 6087 7066 8116 10145 10599 12174 14132 17665 20290 21198 24348 30435 35330 40580 42396 52995 60870 62899 70660 105990 109523 121740 125798 188697 211980 219046 251596 314495 328569 377394 438092 547615 628990 657138 754788 943485 1095230 1257980 1314276 1642845 1886970 2190460 3285690 3773940 6571380 7168457 14336914 21505371 28673828 35842285 43010742 71684570 86021484 107526855 143369140 215053710 222222167 430107420 444444334 666666501 888888668 1111110835 1333333002 2222221670 2666666004 3333332505 4444443340 6666665010 13333330020