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212010311310 = 235729127274117
BaseRepresentation
bin1100010101110011001…
…1001001111010001110
3202021020100210201022020
43011130303021322032
511433144114430220
6241221324431010
721213545624610
oct3053463117216
9667210721266
10212010311310
1181a05325916
12351099a8466
1316cb9654165
14a393224db0
1557aca80040
hex315ccc9e8e

212010311310 has 128 divisors (see below), whose sum is σ = 606305157120. Its totient is φ = 46419899904.

The previous prime is 212010311299. The next prime is 212010311327. The reversal of 212010311310 is 13113010212.

It is a happy number.

It is a super-2 number, since 2×2120103113102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212010311310.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 636372 + ... + 910488.

It is an arithmetic number, because the mean of its divisors is an integer number (4736759040).

Almost surely, 2212010311310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212010311310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303152578560).

212010311310 is an abundant number, since it is smaller than the sum of its proper divisors (394294845810).

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

212010311310 is a wasteful number, since it uses less digits than its factorization.

212010311310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274290.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 212010311310 its reverse (13113010212), we get a palindrome (225123321522).

The spelling of 212010311310 in words is "two hundred twelve billion, ten million, three hundred eleven thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 70 87 105 127 145 174 203 210 254 290 381 406 435 609 635 762 870 889 1015 1218 1270 1778 1905 2030 2667 3045 3683 3810 4445 5334 6090 7366 8890 11049 13335 18415 22098 25781 26670 36830 51562 55245 77343 110490 128905 154686 257810 274117 386715 548234 773430 822351 1370585 1644702 1918819 2741170 3837638 4111755 5756457 7949393 8223510 9594095 11512914 15898786 19188190 23848179 28782285 34812859 39746965 47696358 55645751 57564570 69625718 79493930 104438577 111291502 119240895 166937253 174064295 208877154 238481790 243690013 278228755 333874506 348128590 487380026 522192885 556457510 731070039 834686265 1009572911 1044385770 1218450065 1462140078 1669372530 2019145822 2436900130 3028718733 3655350195 5047864555 6057437466 7067010377 7310700390 10095729110 14134020754 15143593665 21201031131 30287187330 35335051885 42402062262 70670103770 106005155655 212010311310