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2021430411 = 3471113107233
BaseRepresentation
bin111100001111100…
…1001010010001011
312012212200022020000
41320133021102023
513114441233121
6532330134043
7101043606060
oct17037112213
95185608200
102021430411
11948054650
12484b81323
13262a3b890
14152676c67
15bc6e7526
hex787c948b

2021430411 has 160 divisors (see below), whose sum is σ = 4109833728. Its totient is φ = 956136960.

The previous prime is 2021430409. The next prime is 2021430419. The reversal of 2021430411 is 1140341202.

2021430411 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2021430411 - 21 = 2021430409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2021430419) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8675551 + ... + 8675783.

Almost surely, 22021430411 is an apocalyptic number.

2021430411 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2021430411 is an abundant number, since it is smaller than the sum of its proper divisors (2088403317).

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

2021430411 is a wasteful number, since it uses less digits than its factorization.

2021430411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2021430411 is about 44960.3204058868. The cubic root of 2021430411 is about 1264.4051760389.

Adding to 2021430411 its reverse (1140341202), we get a palindrome (3161771613).

It can be divided in two parts, 20214 and 30411, that added together give a 4-th power (50625 = 154).

The spelling of 2021430411 in words is "two billion, twenty-one million, four hundred thirty thousand, four hundred eleven".

Divisors: 1 3 7 9 11 13 21 27 33 39 63 77 81 91 99 107 117 143 189 231 233 273 297 321 351 429 567 693 699 749 819 891 963 1001 1053 1177 1287 1391 1631 2079 2097 2247 2457 2563 2889 3003 3029 3531 3861 4173 4893 6237 6291 6741 7371 7689 8239 8667 9009 9087 9737 10593 11583 12519 14679 15301 17941 18873 20223 21203 23067 24717 24931 27027 27261 29211 31779 33319 37557 44037 45903 53823 60669 63609 69201 74151 74793 81081 81783 87633 95337 99957 107107 112671 132111 137709 161469 174517 190827 207603 222453 224379 233233 245349 262899 274241 299871 321321 324103 413127 484407 523551 572481 667359 673137 699699 788697 822723 899613 963963 972309 1239381 1453221 1570653 1717443 1919687 2019411 2099097 2268721 2468169 2698839 2891889 2916927 3565133 4711959 5759061 6297291 6806163 7404507 8675667 8750781 10695399 14135877 17277183 18891873 20418489 22213521 24955931 26252343 32086197 51831549 61255467 74867793 96258591 155494647 183766401 224603379 288775773 673810137 2021430411