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21000211303131 = 32173783916192731
BaseRepresentation
bin1001100011001011111100…
…01000101000101011011011
32202100121012211111020112200
410301211332020220223123
510223031413043200011
6112355210333341243
74265133545563014
oct461457610505333
982317184436480
1021000211303131
116767159896115
122431b94337823
13b944082935c8
145285b678a00b
152663e4e3a856
hex13197e228adb

21000211303131 has 96 divisors (see below), whose sum is σ = 33057838195200. Its totient is φ = 12792602833920.

The previous prime is 21000211303081. The next prime is 21000211303153. The reversal of 21000211303131 is 13130311200012.

21000211303131 is a `hidden beast` number, since 21 + 0 + 0 + 0 + 211 + 303 + 131 = 666.

It is not a de Polignac number, because 21000211303131 - 222 = 21000207108827 is a prime.

It is a super-2 number, since 2×210002113031312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21000211303171) 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 95 ways as a sum of consecutive naturals, for example, 7689567036 + ... + 7689569766.

It is an arithmetic number, because the mean of its divisors is an integer number (344352481200).

Almost surely, 221000211303131 is an apocalyptic number.

21000211303131 is a deficient number, since it is larger than the sum of its proper divisors (12057626892069).

21000211303131 is a wasteful number, since it uses less digits than its factorization.

21000211303131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5249 (or 5246 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 21000211303131 its reverse (13130311200012), we get a palindrome (34130522503143).

The spelling of 21000211303131 in words is "twenty-one trillion, two hundred eleven million, three hundred three thousand, one hundred thirty-one".

Divisors: 1 3 9 17 37 51 111 153 333 629 839 1619 1887 2517 2731 4857 5661 7551 8193 14263 14571 24579 27523 31043 42789 46427 59903 82569 93129 101047 128367 139281 179709 247707 279387 303141 417843 527731 539127 909423 1018351 1358341 1583193 1717799 2291309 3055053 4075023 4421489 4749579 5153397 6873927 9165159 12225069 13264467 15460191 20621781 23091797 38952253 39793401 50258617 69275391 75165313 84778433 116856759 150775851 163595093 207826173 225495939 254335299 350570277 452327553 490785279 676487817 763005897 854396489 1441233361 1472355837 2563189467 2781116581 3709629271 4323700083 7689568401 8343349743 11128887813 12971100249 25030049229 33386663439 63063697607 137256283027 189191092821 411768849081 567573278463 1235306547243 2333356811459 7000070434377 21000211303131