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20021000202 = 234718019803
BaseRepresentation
bin10010101001010110…
…000011100000001010
31220200022001012010000
4102221112003200022
5312000334001302
613110355303430
71306065456660
oct225126034012
956608035100
1020021000202
118544372865
123a68baab76
131b70b4b3a8
14d7cdd0c30
157c2a1831c
hex4a958380a

20021000202 has 80 divisors (see below), whose sum is σ = 51304410432. Its totient is φ = 5716526400.

The previous prime is 20021000201. The next prime is 20021000267. The reversal of 20021000202 is 20200012002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (20021000201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2037433 + ... + 2047235.

Almost surely, 220021000202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20021000202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25652205216).

20021000202 is an abundant number, since it is smaller than the sum of its proper divisors (31283410230).

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

20021000202 is a wasteful number, since it uses less digits than its factorization.

20021000202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11625 (or 11616 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 20021000202 its reverse (20200012002), we get a palindrome (40221012204).

The spelling of 20021000202 in words is "twenty billion, twenty-one million, two hundred two", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 1134 1801 3602 5403 9803 10806 12607 16209 19606 25214 29409 32418 37821 48627 58818 68621 75642 88227 97254 113463 137242 145881 176454 205863 226926 264681 291762 340389 411726 529362 617589 680778 794043 1021167 1235178 1588086 1852767 2042334 3705534 5558301 11116602 17655203 35310406 52965609 105931218 123586421 158896827 247172842 317793654 370759263 476690481 741518526 953380962 1112277789 1430071443 2224555578 2860142886 3336833367 6673666734 10010500101 20021000202