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211311231021 = 321117235458969
BaseRepresentation
bin1100010011001100100…
…0011000000000101101
3202012102122100202102200
43010303020120000231
511430231133343041
6241024113012113
721160326553632
oct3046310300055
9665378322380
10211311231021
1181686754510
1234b53854039
1316c07877597
14a32844a189
15576b4e01b6
hex313321802d

211311231021 has 48 divisors (see below), whose sum is σ = 367890906240. Its totient is φ = 115293404160.

The previous prime is 211311230761. The next prime is 211311231077. The reversal of 211311231021 is 120132113112.

211311231021 is a `hidden beast` number, since 21 + 1 + 311 + 2 + 310 + 21 = 666.

It is not a de Polignac number, because 211311231021 - 215 = 211311198253 is a prime.

It is a super-2 number, since 2×2113112310212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211311230985 and 211311231003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211311231821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2690776 + ... + 2768193.

It is an arithmetic number, because the mean of its divisors is an integer number (7664393880).

Almost surely, 2211311231021 is an apocalyptic number.

It is an amenable number.

211311231021 is a deficient number, since it is larger than the sum of its proper divisors (156579675219).

211311231021 is a wasteful number, since it uses less digits than its factorization.

211311231021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5459026 (or 5459023 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 211311231021 its reverse (120132113112), we get a palindrome (331443344133).

The spelling of 211311231021 in words is "two hundred eleven billion, three hundred eleven million, two hundred thirty-one thousand, twenty-one".

Divisors: 1 3 9 11 17 23 33 51 69 99 153 187 207 253 391 561 759 1173 1683 2277 3519 4301 12903 38709 5458969 16376907 49130721 60048659 92802473 125556287 180145977 278407419 376668861 540437931 835222257 1020827203 1130006583 1381119157 2134456879 3062481609 4143357471 6403370637 9187444827 12430072413 19210111911 23479025669 70437077007 211311231021