Search a number
-
+
21311133030231 = 311315310110337783
BaseRepresentation
bin1001101100001111000101…
…00000111001011101010111
32210110022202111120111021220
410312013202200321131113
510243130200023431411
6113154111021141423
74326451512630342
oct466074240713527
983408674514256
1021311133030231
116877001019660
1224822a73ba873
13bb7828a42615
14539670225459
1526e541376b06
hex1361e2839757

21311133030231 has 128 divisors (see below), whose sum is σ = 33245006266368. Its totient is φ = 12023743680000.

The previous prime is 21311133030223. The next prime is 21311133030263. The reversal of 21311133030231 is 13203033111312.

It is not a de Polignac number, because 21311133030231 - 23 = 21311133030223 is a prime.

It is a super-2 number, since 2×213111330302312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21311133030211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 564021366 + ... + 564059148.

It is an arithmetic number, because the mean of its divisors is an integer number (259726611456).

Almost surely, 221311133030231 is an apocalyptic number.

21311133030231 is a deficient number, since it is larger than the sum of its proper divisors (11933873236137).

21311133030231 is a wasteful number, since it uses less digits than its factorization.

21311133030231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38085.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 21311133030231 its reverse (13203033111312), we get a palindrome (34514166141543).

The spelling of 21311133030231 in words is "twenty-one trillion, three hundred eleven billion, one hundred thirty-three million, thirty thousand, two hundred thirty-one".

Divisors: 1 3 11 31 33 53 93 101 103 159 303 309 341 583 1023 1111 1133 1643 1749 3131 3193 3333 3399 4929 5353 5459 9393 9579 10403 16059 16377 18073 31209 34441 35123 37783 54219 58883 60049 103323 105369 113349 114433 165943 169229 176649 180147 322493 343299 415613 497829 507687 551359 967479 1171273 1246839 1654077 1825373 1861519 2002499 3513819 3547423 3816083 3891649 5476119 5584557 6007497 6064949 10642269 11448249 11674947 12884003 17092129 18194847 22027489 38652009 41976913 42808139 51276387 62077469 66082467 118298573 120641119 125930739 128424417 186232407 188013419 202252399 206257397 354895719 361923357 393056549 564040257 606757197 618772191 682852159 1179169647 1301284303 1327052309 2048556477 2224776389 2268831367 3903852909 3981156927 4323622039 6269824369 6393979307 6674329167 6806494101 12184753019 12970866117 18809473107 19181937921 20831997097 36554259057 62495991291 68968068059 70333772377 134032283209 206904204177 211001317131 229151968067 402096849627 645791910007 687455904201 1937375730021 7103711010077 21311133030231