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211420200331024 = 24232295861428047
BaseRepresentation
bin110000000100100100011001…
…111100000110011100010000
31000201120120111021100020121221
4300010210121330012130100
5210202402032241043044
62025353033232254424
762350414440422416
oct6004443174063420
91021516437306557
10211420200331024
1161401892412303
121b8667993a1414
1390c7abb06aa59
143a2cb140b12b6
1519697d0780484
hexc04919f06710

211420200331024 has 80 divisors (see below), whose sum is σ = 429377277381120. Its totient is φ = 100655051143680.

The previous prime is 211420200330799. The next prime is 211420200331031. The reversal of 211420200331024 is 420133002024112.

It is a super-2 number, since 2×2114202003310242 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211420200331024.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 493704169 + ... + 494132215.

It is an arithmetic number, because the mean of its divisors is an integer number (5367215967264).

Almost surely, 2211420200331024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211420200331024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214688638690560).

211420200331024 is an abundant number, since it is smaller than the sum of its proper divisors (217957077050096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211420200331024 is a wasteful number, since it uses less digits than its factorization.

211420200331024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434168 (or 434162 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 211420200331024 its reverse (420133002024112), we get a palindrome (631553202355136).

The spelling of 211420200331024 in words is "two hundred eleven trillion, four hundred twenty billion, two hundred million, three hundred thirty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 23 46 92 184 229 368 458 916 1832 3664 5267 5861 10534 11722 21068 23444 42136 46888 84272 93776 134803 269606 428047 539212 856094 1078424 1342169 1712188 2156848 2684338 3424376 5368676 6848752 9845081 10737352 19690162 21474704 30869887 39380324 61739774 78760648 98022763 123479548 157521296 196045526 246959096 392091052 493918192 784182104 1568364208 2254523549 2508783467 4509047098 5017566934 9018094196 10035133868 18036188392 20070267736 36072376784 40140535472 57702019741 115404039482 230808078964 461616157928 574511413943 923232315856 1149022827886 2298045655772 4596091311544 9192182623088 13213762520689 26427525041378 52855050082756 105710100165512 211420200331024