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212201313310 = 25737193439967
BaseRepresentation
bin1100010110100000101…
…1110001010000011110
3202021201200012121210101
43011220023301100132
511434042014011220
6241252310331314
721221355255010
oct3055013612036
9667650177711
10212201313310
1181aa3122508
1235161959b3a
131701a0aa9ac
14a3b07441b0
1557be70d30a
hex31682f141e

212201313310 has 128 divisors (see below), whose sum is σ = 452143042560. Its totient is φ = 70188539904.

The previous prime is 212201313299. The next prime is 212201313323. The reversal of 212201313310 is 13313102212.

212201313310 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2122013133102 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 219442447 + ... + 219443413.

It is an arithmetic number, because the mean of its divisors is an integer number (3532367520).

Almost surely, 2212201313310 is an apocalyptic number.

212201313310 is an abundant number, since it is smaller than the sum of its proper divisors (239941729250).

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

212201313310 is a wasteful number, since it uses less digits than its factorization.

212201313310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 212201313310 its reverse (13313102212), we get a palindrome (225514415522).

The spelling of 212201313310 in words is "two hundred twelve billion, two hundred one million, three hundred thirteen thousand, three hundred ten".

Divisors: 1 2 5 7 10 14 35 37 70 74 185 193 259 370 386 439 518 878 965 967 1295 1351 1930 1934 2195 2590 2702 3073 4390 4835 6146 6755 6769 7141 9670 13510 13538 14282 15365 16243 30730 32486 33845 35705 35779 49987 67690 71410 71558 81215 84727 99974 113701 162430 169454 178895 186631 227402 249935 250453 357790 373262 423635 424513 499870 500906 568505 593089 847270 849026 933155 1137010 1186178 1252265 1306417 1866310 2122565 2504530 2612834 2965445 2971591 3134899 4245130 5930890 5943182 6269798 6532085 6905347 13064170 13810694 14857955 15674495 15706981 21944293 29715910 31348990 31413962 34526735 43888586 48337429 69053470 78534905 81931009 96674858 109721465 109948867 157069810 163862018 219442930 219897734 241687145 409655045 483374290 549744335 573517063 819310090 1099488670 1147034126 2867585315 3031447333 5735170630 6062894666 15157236665 21220131331 30314473330 42440262662 106100656655 212201313310