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211221311022030 = 23531493746003583
BaseRepresentation
bin110000000001101011001011…
…001101100110001111001110
31000200212120010100000111202110
4300001223023031212033032
5210141122221110201110
62025121421500204450
762330143664246541
oct6001531315461716
91020776110014673
10211221311022030
11613355005a8761
121b834131839726
1390b2112ba37ba
143a23247712858
15196453eaa4a20
hexc01acb3663ce

211221311022030 has 64 divisors (see below), whose sum is σ = 523389767712768. Its totient is φ = 54497683380480.

The previous prime is 211221311022023. The next prime is 211221311022053. The reversal of 211221311022030 is 30220113122112.

It is a super-2 number, since 2×2112213110220302 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211221311021988 and 211221311022006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18410382 + ... + 27593201.

It is an arithmetic number, because the mean of its divisors is an integer number (8177965120512).

Almost surely, 2211221311022030 is an apocalyptic number.

211221311022030 is an abundant number, since it is smaller than the sum of its proper divisors (312168456690738).

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

211221311022030 is a wasteful number, since it uses less digits than its factorization.

211221311022030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46008561.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 211221311022030 its reverse (30220113122112), we get a palindrome (241441424144142).

The spelling of 211221311022030 in words is "two hundred eleven trillion, two hundred twenty-one billion, three hundred eleven million, twenty-two thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 930 4937 9874 14811 24685 29622 49370 74055 148110 153047 306094 459141 765235 918282 1530470 2295705 4591410 46003583 92007166 138010749 230017915 276021498 460035830 690053745 1380107490 1426111073 2852222146 4278333219 7130555365 8556666438 14261110730 21391666095 42783332190 227119689271 454239378542 681359067813 1135598446355 1362718135626 2271196892710 3406795339065 6813590678130 7040710367401 14081420734802 21122131102203 35203551837005 42244262204406 70407103674010 105610655511015 211221311022030