Search a number
-
+
20200012002 = 232291631991193
BaseRepresentation
bin10010110100000000…
…111011100011100010
31221010202212221010200
4102310000323203202
5312332200341002
613140232210030
71313401161162
oct226400734342
957122787120
1020200012002
11862641aaa5
123ab8b39916
131b9bc67531
14d98aac5a2
157d35c8b1c
hex4b403b8e2

20200012002 has 96 divisors (see below), whose sum is σ = 45820944000. Its totient is φ = 6423411456.

The previous prime is 20200011971. The next prime is 20200012057. The reversal of 20200012002 is 20021000202.

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

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, 16931518 + ... + 16932710.

It is an arithmetic number, because the mean of its divisors is an integer number (477301500).

Almost surely, 220200012002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20200012002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22910472000).

20200012002 is an abundant number, since it is smaller than the sum of its proper divisors (25620931998).

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

20200012002 is a wasteful number, since it uses less digits than its factorization.

20200012002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592 (or 1589 counting only the distinct ones).

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

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

The spelling of 20200012002 in words is "twenty billion, two hundred million, twelve thousand, two".

Divisors: 1 2 3 6 9 18 29 58 87 163 174 199 261 326 398 489 522 597 978 1193 1194 1467 1791 2386 2934 3579 3582 4727 5771 7158 9454 10737 11542 14181 17313 21474 28362 32437 34597 34626 42543 51939 64874 69194 85086 97311 103791 103878 194459 194622 207582 237407 291933 311373 388918 474814 583377 583866 622746 712221 940673 1166754 1424442 1750131 1881346 2136663 2822019 3500262 4273326 5639311 5644038 6884803 8466057 11278622 13769606 16917933 16932114 20654409 33835866 38697341 41308818 50753799 61963227 77394682 101507598 116092023 123926454 232184046 348276069 696552138 1122222889 2244445778 3366668667 6733337334 10100006001 20200012002