Search a number
-
+
20232000261 = 34111941103283
BaseRepresentation
bin10010110101111010…
…111101001100000101
31221020000002002210000
4102311322331030011
5312413343002021
613143333551513
71314240110334
oct226572751405
957200062700
1020232000261
118642489280
123b077a5599
131ba57874b5
14d9d037d1b
157d62e6b26
hex4b5ebd305

20232000261 has 160 divisors (see below), whose sum is σ = 36024468480. Its totient is φ = 11183443200.

The previous prime is 20232000241. The next prime is 20232000287. The reversal of 20232000261 is 16200023202.

20232000261 is a `hidden beast` number, since 202 + 3 + 200 + 0 + 261 = 666.

It is not a de Polignac number, because 20232000261 - 26 = 20232000197 is a prime.

It is a super-2 number, since 2×202320002612 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20232000211) 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 159 ways as a sum of consecutive naturals, for example, 71491026 + ... + 71491308.

It is an arithmetic number, because the mean of its divisors is an integer number (225152928).

Almost surely, 220232000261 is an apocalyptic number.

It is an amenable number.

20232000261 is a deficient number, since it is larger than the sum of its proper divisors (15792468219).

20232000261 is a wasteful number, since it uses less digits than its factorization.

20232000261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20232000261 its reverse (16200023202), we get a palindrome (36432023463).

The spelling of 20232000261 in words is "twenty billion, two hundred thirty-two million, two hundred sixty-one", and thus it is an aban number.

Divisors: 1 3 9 11 19 27 33 41 57 81 99 103 123 171 209 283 297 309 369 451 513 627 779 849 891 927 1107 1133 1353 1539 1881 1957 2337 2547 2781 3113 3321 3399 4059 4223 5377 5643 5871 7011 7641 8343 8569 9339 10197 11603 12177 12669 16131 16929 17613 21033 21527 22923 25707 28017 29149 30591 34809 36531 38007 46453 48393 52839 59147 63099 64581 77121 80237 84051 87447 91773 104427 114021 127633 139359 145179 158517 177441 193743 220457 231363 240711 252153 262341 313281 320639 342063 382899 418077 435537 532323 553831 581229 661371 694089 722133 787023 882607 939843 961917 1148697 1195109 1254231 1596969 1661493 1743687 1984113 2166399 2361069 2425027 2647821 2885751 3446091 3585327 3762693 4790907 4984479 5952339 6092141 6499197 7275081 7943463 8657253 10338273 10755981 13146199 14953437 17857017 18276423 21825243 22707071 23830389 25971759 32267943 39438597 44860311 54829269 65475729 68121213 71491167 96803829 118315791 164487807 196427187 204363639 249777781 354947373 493463421 613090917 749333343 1064842119 1839272751 2248000029 6744000087 20232000261