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20031133302 = 234167797929
BaseRepresentation
bin10010101001111100…
…101101011001110110
31220201000010000010000
4102221330231121312
5312010432231202
613111400412130
71306250552355
oct225174553166
956630100100
1020031133302
11854a063a24
123a70477046
131b72c886cb
14d804ab99c
157c386a91c
hex4a9f2d676

20031133302 has 80 divisors (see below), whose sum is σ = 45258665760. Its totient is φ = 6621599232.

The previous prime is 20031133301. The next prime is 20031133387. The reversal of 20031133302 is 20333113002.

20031133302 is a `hidden beast` number, since 20 + 0 + 311 + 3 + 330 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20031133301) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21561574 + ... + 21562502.

It is an arithmetic number, because the mean of its divisors is an integer number (565733322).

Almost surely, 220031133302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20031133302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22629332880).

20031133302 is an abundant number, since it is smaller than the sum of its proper divisors (25227532458).

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

20031133302 is a wasteful number, since it uses less digits than its factorization.

20031133302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1907 (or 1898 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 20031133302 its reverse (20333113002), we get a palindrome (40364246304).

The spelling of 20031133302 in words is "twenty billion, thirty-one million, one hundred thirty-three thousand, three hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 162 167 334 501 797 929 1002 1503 1594 1858 2391 2787 3006 4509 4782 5574 7173 8361 9018 13527 14346 16722 21519 25083 27054 43038 50166 64557 75249 129114 133099 150498 155143 266198 310286 399297 465429 740413 798594 930858 1197891 1396287 1480826 2221239 2395782 2792574 3593673 4188861 4442478 6663717 7187346 8377722 10781019 12566583 13327434 19991151 21562038 25133166 39982302 59973453 119946906 123648971 247297942 370946913 741893826 1112840739 2225681478 3338522217 6677044434 10015566651 20031133302