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212220240113024 = 271113109106368809
BaseRepresentation
bin110000010000001101100000…
…000001101010110110000000
31000211102001112102100010020222
4300100031200001222312000
5210304004022432104044
62031204344333322212
762462256246364103
oct6020154001526600
91024361472303228
10212220240113024
1161690109a78890
121b975855036368
13915538a335970
143a5972b83073a
1519805072ce8ee
hexc1036006ad80

212220240113024 has 128 divisors (see below), whose sum is σ = 501252380244000. Its totient is φ = 88226544107520.

The previous prime is 212220240113023. The next prime is 212220240113111. The reversal of 212220240113024 is 420311042022212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 212220240112984 and 212220240113002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212220240113023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51189269 + ... + 55179540.

Almost surely, 2212220240113024 is an apocalyptic number.

It is an amenable number.

212220240113024 is an abundant number, since it is smaller than the sum of its proper divisors (289032140130976).

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

212220240113024 is a wasteful number, since it uses less digits than its factorization.

212220240113024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106368956 (or 106368944 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 212220240113024 its reverse (420311042022212), we get a palindrome (632531282135236).

The spelling of 212220240113024 in words is "two hundred twelve trillion, two hundred twenty billion, two hundred forty million, one hundred thirteen thousand, twenty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 109 128 143 176 208 218 286 352 416 436 572 704 832 872 1144 1199 1408 1417 1664 1744 2288 2398 2834 3488 4576 4796 5668 6976 9152 9592 11336 13952 15587 18304 19184 22672 31174 38368 45344 62348 76736 90688 124696 153472 181376 249392 498784 997568 1995136 106368809 212737618 425475236 850950472 1170056899 1382794517 1701900944 2340113798 2765589034 3403801888 4680227596 5531178068 6807603776 9360455192 11062356136 11594200181 13615207552 15210739687 18720910384 22124712272 23188400362 30421479374 37441820768 44249424544 46376800724 60842958748 74883641536 88498849088 92753601448 121685917496 127536201991 149767283072 150724602353 176997698176 185507202896 243371834992 255072403982 301449204706 371014405792 486743669984 510144807964 602898409412 742028811584 973487339968 1020289615928 1205796818824 1484057623168 1657970625883 1946974679936 2040579231856 2411593637648 3315941251766 4081158463712 4823187275296 6631882503532 8162316927424 9646374550592 13263765007064 16324633854848 19292749101184 26527530014128 53055060028256 106110120056512 212220240113024