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20201321310 = 23543181241359
BaseRepresentation
bin10010110100000101…
…111011001101011110
31221010212100110011120
4102310011323031132
5312333014240220
613140320231410
71313415253332
oct226405731536
957125313146
1020201321310
118627134775
123ab946b566
131b9c305481
14d98d2d7c2
157d3786a40
hex4b417b35e

20201321310 has 128 divisors (see below), whose sum is σ = 50231301120. Its totient is φ = 5196441600.

The previous prime is 20201321293. The next prime is 20201321311. The reversal of 20201321310 is 1312310202.

It is a super-2 number, since 2×202013213102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20201321310.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20201321311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56270911 + ... + 56271269.

It is an arithmetic number, because the mean of its divisors is an integer number (392432040).

Almost surely, 220201321310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20201321310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25115650560).

20201321310 is an abundant number, since it is smaller than the sum of its proper divisors (30029979810).

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

20201321310 is a wasteful number, since it uses less digits than its factorization.

20201321310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 20201321310 its reverse (1312310202), we get a palindrome (21513631512).

The spelling of 20201321310 in words is "twenty billion, two hundred one million, three hundred twenty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 181 215 241 258 359 362 430 482 543 645 718 723 905 1077 1086 1205 1290 1446 1795 1810 2154 2410 2715 3590 3615 5385 5430 7230 7783 10363 10770 15437 15566 20726 23349 30874 31089 38915 43621 46311 46698 51815 62178 64979 77185 77830 86519 87242 92622 103630 116745 129958 130863 154370 155445 173038 194937 218105 231555 233490 259557 261726 310890 324895 389874 432595 436210 463110 519114 649790 654315 865190 974685 1297785 1308630 1875703 1949370 2595570 2794097 3720317 3751406 5588194 5627109 7440634 8382291 9378515 11160951 11254218 13970485 15659939 16764582 18601585 18757030 22321902 27940970 28135545 31319878 37203170 41911455 46979817 55804755 56271090 78299695 83822910 93959634 111609510 156599390 234899085 469798170 673377377 1346754754 2020132131 3366886885 4040264262 6733773770 10100660655 20201321310