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211022240444020 = 2251922318711330963
BaseRepresentation
bin101111111110110001110001…
…101011100110111001110100
31000200011112021202121100112201
4233332301301223212321310
5210124342022023202040
62024450140130554244
762306565560251615
oct5776616153467164
91020145252540481
10211022240444020
1161269036435005
121b801635438984
1390994092acb85
143a17760c49c0c
15195e28d01ea9a
hexbfec71ae6e74

211022240444020 has 96 divisors (see below), whose sum is σ = 468812796641280. Its totient is φ = 79565121313920.

The previous prime is 211022240443999. The next prime is 211022240444047. The reversal of 211022240444020 is 20444042220112.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 211022240444020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157883059 + ... + 159214021.

It is an arithmetic number, because the mean of its divisors is an integer number (4883466631680).

Almost surely, 2211022240444020 is an apocalyptic number.

211022240444020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211022240444020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234406398320640).

211022240444020 is an abundant number, since it is smaller than the sum of its proper divisors (257790556197260).

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

211022240444020 is a wasteful number, since it uses less digits than its factorization.

211022240444020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333085 (or 1333083 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 211022240444020 its reverse (20444042220112), we get a palindrome (231466282664132).

The spelling of 211022240444020 in words is "two hundred eleven trillion, twenty-two billion, two hundred forty million, four hundred forty-four thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 223 380 446 892 1115 1871 2230 3742 4237 4460 7484 8474 9355 16948 18710 21185 35549 37420 42370 71098 84740 142196 177745 355490 417233 710980 834466 1330963 1668932 2086165 2661926 4172330 5323852 6654815 7927427 8344660 13309630 15854854 25288297 26619260 31709708 39637135 50576594 79274270 101153188 126441485 158548540 252882970 296804749 505765940 593609498 1187218996 1484023745 2490231773 2968047490 4980463546 5639290231 5936094980 9960927092 11278580462 12451158865 22557160924 24902317730 28196451155 47314403687 49804635460 56392902310 94628807374 112785804620 189257614748 236572018435 473144036870 555321685379 946288073740 1110643370758 2221286741516 2776608426895 5553216853790 10551112022201 11106433707580 21102224044402 42204448088804 52755560111005 105511120222010 211022240444020