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2033122003242 = 231153267163679
BaseRepresentation
bin11101100101011111100…
…000111100100100101010
321012100211202201221122220
4131211133200330210222
5231302313213100432
64154000420254510
7266613441613131
oct35453740744452
97170752657586
102033122003242
11714273405090
1228a048541436
13119951689665
14705917bc918
1537d45c4972c
hex1d95f83c92a

2033122003242 has 96 divisors (see below), whose sum is σ = 4588686305280. Its totient is φ = 595447469760.

The previous prime is 2033122003229. The next prime is 2033122003259. The reversal of 2033122003242 is 2423002213302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12339559 + ... + 12503237.

It is an arithmetic number, because the mean of its divisors is an integer number (47798815680).

Almost surely, 22033122003242 is an apocalyptic number.

2033122003242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2033122003242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2294343152640).

2033122003242 is an abundant number, since it is smaller than the sum of its proper divisors (2555564302038).

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

2033122003242 is a wasteful number, since it uses less digits than its factorization.

2033122003242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163868 (or 163815 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 2033122003242 its reverse (2423002213302), we get a palindrome (4456124216544).

The spelling of 2033122003242 in words is "two trillion, thirty-three billion, one hundred twenty-two million, three thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 33 53 66 67 106 134 159 201 318 402 583 737 1166 1474 1749 2211 2809 3498 3551 4422 5618 7102 8427 10653 16854 21306 30899 39061 61798 78122 92697 117183 163679 185394 188203 234366 327358 376406 491037 564609 982074 1129218 1800469 2070233 3600938 4140466 5401407 6210699 8674987 10802814 10966493 12421398 17349974 21932986 26024961 32899479 52049922 65798958 95424857 120631423 190849714 241262846 286274571 361894269 459774311 572549142 581224129 723788538 919548622 1162448258 1379322933 1743672387 2758645866 3487344774 5057517421 6393465419 10115034842 12786930838 15172552263 19180396257 30345104526 30804878837 38360792514 61609757674 92414636511 184829273022 338853667207 677707334414 1016561001621 2033122003242