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211211220033 = 33112591139697
BaseRepresentation
bin1100010010110100101…
…0110111010001000001
3202012011200011200011000
43010231022313101001
511430030033020113
6241010141242213
721155003514462
oct3045512672101
9665150150130
10211211220033
1181635255800
1234b26263369
1316bbcc2ba98
14a319054d69
155762837373
hex312d2b7441

211211220033 has 96 divisors (see below), whose sum is σ = 352898582400. Its totient is φ = 124710727680.

The previous prime is 211211220001. The next prime is 211211220079. The reversal of 211211220033 is 330022112112.

It is not a de Polignac number, because 211211220033 - 25 = 211211220001 is a prime.

It is a super-3 number, since 3×2112112200333 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 211211219988 and 211211220015.

It is not an unprimeable number, because it can be changed into a prime (211211240033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21776241 + ... + 21785937.

It is an arithmetic number, because the mean of its divisors is an integer number (3676026900).

Almost surely, 2211211220033 is an apocalyptic number.

It is an amenable number.

211211220033 is a deficient number, since it is larger than the sum of its proper divisors (141687362367).

211211220033 is a wasteful number, since it uses less digits than its factorization.

211211220033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9900 (or 9883 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 211211220033 its reverse (330022112112), we get a palindrome (541233332145).

The spelling of 211211220033 in words is "two hundred eleven billion, two hundred eleven million, two hundred twenty thousand, thirty-three".

Divisors: 1 3 9 11 27 33 59 99 113 121 177 297 339 363 531 649 1017 1089 1243 1593 1947 3051 3267 3729 5841 6667 7139 9697 11187 13673 17523 20001 21417 29091 33561 41019 60003 64251 73337 87273 106667 123057 180009 192753 220011 261819 320001 369171 572123 660033 806707 960003 1095761 1173337 1716369 1980099 2420121 2880009 3287283 3520011 5149107 6293353 7260363 9861849 10560033 12053371 15447321 18880059 21781089 29585547 31680099 36160113 56640177 64649899 69226883 108480339 132587081 169920531 193949697 207680649 325441017 397761243 581849091 623041947 711148889 1193283729 1745547273 1869125841 2133446667 3579851187 6400340001 7822637779 19201020003 23467913337 70403740011 211211220033