Search a number
-
+
212220121021110 = 23254165778744447
BaseRepresentation
bin110000010000001101011000…
…111011010111101010110110
31000211102001020010020121212100
4300100031120323113222312
5210304003301440133420
62031204324441002530
762462253302204256
oct6020153073275266
91024361203217770
10212220121021110
1161690058827314
121b975821183446
13915536b769187
143a59719aad966
1519804ebb08190
hexc10358ed7ab6

212220121021110 has 96 divisors (see below), whose sum is σ = 565316181061632. Its totient is φ = 55203337820160.

The previous prime is 212220121021087. The next prime is 212220121021147. The reversal of 212220121021110 is 11120121022212.

212220121021110 is a `hidden beast` number, since 2 + 12 + 220 + 1 + 210 + 211 + 10 = 666.

212220121021110 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19896907 + ... + 28641353.

It is an arithmetic number, because the mean of its divisors is an integer number (5888710219392).

Almost surely, 2212220121021110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212220121021110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282658090530816).

212220121021110 is an abundant number, since it is smaller than the sum of its proper divisors (353096060040522).

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

212220121021110 is a wasteful number, since it uses less digits than its factorization.

212220121021110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8751078 (or 8751075 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212220121021110 its reverse (11120121022212), we get a palindrome (223340242043322).

The spelling of 212220121021110 in words is "two hundred twelve trillion, two hundred twenty billion, one hundred twenty-one million, twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 369 410 615 738 1230 1845 3690 6577 13154 19731 32885 39462 59193 65770 98655 118386 197310 269657 295965 539314 591930 808971 1348285 1617942 2426913 2696570 4044855 4853826 8089710 8744447 12134565 17488894 24269130 26233341 43722235 52466682 78700023 87444470 131166705 157400046 262333410 358522327 393500115 717044654 787000230 1075566981 1792611635 2151133962 3226700943 3585223270 5377834905 6453401886 10755669810 16133504715 32267009430 57512227919 115024455838 172536683757 287561139595 345073367514 517610051271 575122279190 862683418785 1035220102542 1725366837570 2358001344679 2588050256355 4716002689358 5176100512710 7074004034037 11790006723395 14148008068074 21222012102111 23580013446790 35370020170185 42444024204222 70740040340370 106110060510555 212220121021110