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20002031322 = 23713291319643
BaseRepresentation
bin10010101000001101…
…101100011011011010
31220121222100110200220
4102220031230123122
5311431010000242
613104440540510
71305445314060
oct225015543332
956558313626
1020002031322
1185346971a9
123a62781736
131b69c393c0
14d7a694030
157c101cbec
hex4a836c6da

20002031322 has 128 divisors (see below), whose sum is σ = 51327682560. Its totient is φ = 5053950720.

The previous prime is 20002031303. The next prime is 20002031323. The reversal of 20002031322 is 22313020002.

It is not an unprimeable number, because it can be changed into a prime (20002031323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2069433 + ... + 2079075.

It is an arithmetic number, because the mean of its divisors is an integer number (400997520).

Almost surely, 220002031322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20002031322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25663841280).

20002031322 is an abundant number, since it is smaller than the sum of its proper divisors (31325651238).

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

20002031322 is a wasteful number, since it uses less digits than its factorization.

20002031322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9828.

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 20002031322 its reverse (22313020002), we get a palindrome (42315051324).

The spelling of 20002031322 in words is "twenty billion, two million, thirty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 13 14 21 26 29 39 42 58 78 87 91 131 174 182 203 262 273 377 393 406 546 609 754 786 917 1131 1218 1703 1834 2262 2639 2751 3406 3799 5109 5278 5502 7598 7917 9643 10218 11397 11921 15834 19286 22794 23842 26593 28929 35763 49387 53186 57858 67501 71526 79779 98774 125359 135002 148161 159558 202503 250718 279647 296322 345709 376077 405006 559294 691418 752154 838941 877513 1037127 1263233 1677882 1755026 1957529 2074254 2526466 2632539 3635411 3789699 3915058 5265078 5872587 7270822 7579398 8842631 10906233 11745174 16422029 17685262 21812466 25447877 26527893 32844058 36633757 49266087 50895754 53055786 73267514 76343631 98532174 109901271 114954203 152687262 219802542 229908406 256436299 344862609 476238841 512872598 689725218 769308897 952477682 1428716523 1538617794 2857433046 3333671887 6667343774 10001015661 20002031322