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211235013 = 331117223107
BaseRepresentation
bin11001001011100…
…11000011000101
3112201110211222000
430211303003011
5413034010023
632543255513
75143316343
oct1445630305
9481424860
10211235013
11a9266aa0
125a8aa599
13349bc042
14200a8993
1513828243
hexc9730c5

211235013 has 96 divisors (see below), whose sum is σ = 381957120. Its totient is φ = 114174720.

The previous prime is 211234981. The next prime is 211235033. The reversal of 211235013 is 310532112.

It is not a de Polignac number, because 211235013 - 25 = 211234981 is a prime.

It is a super-2 number, since 2×2112350132 = 89240461434220338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211235033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1974106 + ... + 1974212.

It is an arithmetic number, because the mean of its divisors is an integer number (3978720).

Almost surely, 2211235013 is an apocalyptic number.

211235013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

211235013 is a deficient number, since it is larger than the sum of its proper divisors (170722107).

211235013 is a wasteful number, since it uses less digits than its factorization.

211235013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 211235013 is about 14533.9262761306. The cubic root of 211235013 is about 595.5551281692. Note that the first 3 decimals are identical.

Adding to 211235013 its reverse (310532112), we get a palindrome (521767125).

The spelling of 211235013 in words is "two hundred eleven million, two hundred thirty-five thousand, thirteen".

Divisors: 1 3 9 11 17 23 27 33 51 69 99 107 153 187 207 253 289 297 321 391 459 561 621 759 867 963 1173 1177 1683 1819 2277 2461 2601 2889 3179 3519 3531 4301 5049 5457 6647 6831 7383 7803 9537 10557 10593 12903 16371 19941 20009 22149 27071 28611 30923 31779 38709 41837 49113 59823 60027 66447 73117 81213 85833 92769 116127 125511 179469 180081 219351 243639 278307 340153 376533 460207 540243 658053 711229 730917 834921 1020459 1129599 1380621 1974159 2133687 3061377 4141863 6401061 7823519 9184131 12425589 19203183 23470557 70411671 211235013