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3330010220020 = 2251124333919437
BaseRepresentation
bin110000011101010100000…
…100111000010111110100
3102210100100010201102210121
4300131110010320113310
5414024330104020040
611025441403501324
7462404520562321
oct60352404702764
912710303642717
103330010220020
111074281a57500
12459465827844
131b2031b91643
14b725d983b48
155b94b899c4a
hex307541385f4

3330010220020 has 144 divisors (see below), whose sum is σ = 7868454257664. Its totient is φ = 1182277958400.

The previous prime is 3330010219997. The next prime is 3330010220021. The reversal of 3330010220020 is 200220100333.

It is a super-2 number, since 2×33300102200202 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3330010219976 and 3330010220003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3330010220021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 352862742 + ... + 352872178.

It is an arithmetic number, because the mean of its divisors is an integer number (54642043456).

Almost surely, 23330010220020 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 3330010220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3934227128832).

3330010220020 is an abundant number, since it is smaller than the sum of its proper divisors (4538444037644).

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

3330010220020 is a wasteful number, since it uses less digits than its factorization.

3330010220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12902 (or 12889 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 3330010220020 its reverse (200220100333), we get a palindrome (3530230320353).

The spelling of 3330010220020 in words is "three trillion, three hundred thirty billion, ten million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 121 172 215 220 242 430 473 484 605 860 946 1210 1892 2365 2420 3391 4730 5203 6782 9437 9460 10406 13564 16955 18874 20812 26015 33910 37301 37748 47185 52030 67820 74602 94370 103807 104060 145813 149204 186505 188740 207614 291626 373010 405791 410311 415228 519035 583252 729065 746020 811582 820622 1038070 1141877 1458130 1603943 1623164 1641244 2028955 2051555 2076140 2283754 2916260 3207886 4057910 4103110 4463701 4567508 5709385 6415772 8019715 8115820 8206220 8927402 11418770 16039430 17643373 17854804 22318505 22837540 32000867 32078860 35286746 44637010 49100711 64001734 70573492 88216865 89274020 98201422 128003468 160004335 176433730 196402844 245503555 320008670 352009537 352867460 491007110 640017340 704019074 982014220 1376037281 1408038148 1760047685 2752074562 3520095370 3872104907 5504149124 6880186405 7040190740 7744209814 13760372810 15136410091 15488419628 19360524535 27520745620 30272820182 38721049070 60545640364 75682050455 77442098140 151364100910 166500511001 302728201820 333001022002 666002044004 832502555005 1665005110010 3330010220020