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20133203002302 = 23132319015903483
BaseRepresentation
bin1001001001111101000000…
…11010011100001110111110
32122021201022112102010102110
410210332200122130032332
510114330244432033202
6110453022112434450
74145401352612235
oct444764032341676
978251275363373
1020133203002302
116462497250205
122311b48b48a26
13b307259387b0
144d8648c93b1c
1524da9dedc26c
hex124fa069c3be

20133203002302 has 64 divisors (see below), whose sum is σ = 45273015922176. Its totient is φ = 5922373142400.

The previous prime is 20133203002153. The next prime is 20133203002307. The reversal of 20133203002302 is 20320030233102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20133203002307) by changing a digit.

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, 458653 + ... + 6362135.

It is an arithmetic number, because the mean of its divisors is an integer number (707390873784).

Almost surely, 220133203002302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20133203002302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22636507961088).

20133203002302 is an abundant number, since it is smaller than the sum of its proper divisors (25139812919874).

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

20133203002302 is a wasteful number, since it uses less digits than its factorization.

20133203002302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5905425.

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 20133203002302 its reverse (20320030233102), we get a palindrome (40453233235404).

The spelling of 20133203002302 in words is "twenty trillion, one hundred thirty-three billion, two hundred three million, two thousand, three hundred two".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 299 598 897 1794 1901 3802 5703 11406 24713 43723 49426 74139 87446 131169 148278 262338 568399 1136798 1705197 3410394 5903483 11806966 17710449 35420898 76745279 135780109 153490558 230235837 271560218 407340327 460471674 814680654 1765141417 3530282834 5295424251 10590848502 11222521183 22445042366 33667563549 67335127098 145892775379 258117987209 291785550758 437678326137 516235974418 774353961627 875356652274 1548707923254 3355533833717 6711067667434 10066601501151 20133203002302