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211323133021 = 711131916936563
BaseRepresentation
bin1100010011001111010…
…1110001110001011101
3202012110110202102220111
43010303311301301131
511430242210224041
6241025220050021
721160532664430
oct3046365616135
9665413672814
10211323133021
1181692443680
1234b57833911
1316c0a183aa0
14a329c67817
15576c591981
hex3133d71c5d

211323133021 has 64 divisors (see below), whose sum is σ = 298889902080. Its totient is φ = 143893635840.

The previous prime is 211323133019. The next prime is 211323133051. The reversal of 211323133021 is 120331323112.

It is a cyclic number.

It is not a de Polignac number, because 211323133021 - 21 = 211323133019 is a prime.

It is a super-2 number, since 2×2113231330212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211323132983 and 211323133001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211323133051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32195886 + ... + 32202448.

It is an arithmetic number, because the mean of its divisors is an integer number (4670154720).

Almost surely, 2211323133021 is an apocalyptic number.

It is an amenable number.

211323133021 is a deficient number, since it is larger than the sum of its proper divisors (87566769059).

211323133021 is a wasteful number, since it uses less digits than its factorization.

211323133021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8306.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 211323133021 its reverse (120331323112), we get a palindrome (331654456133).

The spelling of 211323133021 in words is "two hundred eleven billion, three hundred twenty-three million, one hundred thirty-three thousand, twenty-one".

Divisors: 1 7 11 13 19 77 91 133 143 209 247 1001 1463 1693 1729 2717 6563 11851 18623 19019 22009 32167 45941 72193 85319 124697 130361 154063 225169 242099 353837 418171 505351 597233 872879 938509 1371667 1621061 1694693 2476859 2927197 4599881 6569563 9601669 11111159 11347427 17831671 32199167 77778113 122222749 124821697 144445067 211112021 855559243 1011115469 1477784147 1588895737 2322232231 2744456273 11122270159 16255625617 19211193911 30189019003 211323133021