Search a number
-
+
210211200111213 = 3471397513551551
BaseRepresentation
bin101111110010111110011011…
…111010010001001001101101
31000120021222211222010121010000
4233302332123322101021231
5210023100014212024323
62023025405301534513
762164154334211440
oct5762763372211155
91016258758117100
10210211200111213
1160a860842a4924
121b6b0409714439
13903aaa5c569c2
1439ca3c2515657
151948120872e43
hexbf2f9be9126d

210211200111213 has 80 divisors (see below), whose sum is σ = 361942357934080. Its totient is φ = 119097677700000.

The previous prime is 210211200111161. The next prime is 210211200111239. The reversal of 210211200111213 is 312111002112012.

It is a happy number.

210211200111213 is a `hidden beast` number, since 210 + 211 + 20 + 0 + 1 + 11 + 213 = 666.

It is not a de Polignac number, because 210211200111213 - 216 = 210211200045677 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210211200151213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 57412788 + ... + 60964338.

It is an arithmetic number, because the mean of its divisors is an integer number (4524279474176).

Almost surely, 2210211200111213 is an apocalyptic number.

It is an amenable number.

210211200111213 is a deficient number, since it is larger than the sum of its proper divisors (151731157822867).

210211200111213 is a wasteful number, since it uses less digits than its factorization.

210211200111213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3552460 (or 3552451 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 210211200111213 its reverse (312111002112012), we get a palindrome (522322202223225).

The spelling of 210211200111213 in words is "two hundred ten trillion, two hundred eleven billion, two hundred million, one hundred eleven thousand, two hundred thirteen".

Divisors: 1 3 7 9 21 27 63 81 139 189 417 567 751 973 1251 2253 2919 3753 5257 6759 8757 11259 15771 20277 26271 47313 60831 78813 104389 141939 313167 425817 730723 939501 2192169 2818503 3551551 6576507 8455509 10654653 19729521 24860857 31963959 59188563 74582571 95891877 223747713 287675631 493665589 671243139 1480996767 2013729417 2667214801 3455659123 4442990301 8001644403 10366977369 13328970903 18670503607 24004933209 31100932107 39986912709 56011510821 72014799627 93302796321 168034532463 216044398881 279908388963 370742857339 504103597389 1112228572017 1512310792167 2595200001373 3336685716051 7785600004119 10010057148153 23356800012357 30030171444459 70070400037071 210211200111213