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2022102020202 = 2311738914931649
BaseRepresentation
bin11101011011001110101…
…011000011000001101010
321011022101202200210211220
4131123032223003001222
5231112231104121302
64144535120002510
7266043400401525
oct35331653030152
97138352623756
102022102020202
1170a628968790
12287a91a60436
131188b6586534
146dc27dc9bbc
15378ed55e4bc
hex1d6ceac306a

2022102020202 has 128 divisors (see below), whose sum is σ = 4553042400000. Its totient is φ = 593544314880.

The previous prime is 2022102020093. The next prime is 2022102020231. The reversal of 2022102020202 is 2020202012202.

It is a super-2 number, since 2×20221020202022 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63875674 + ... + 63907322.

It is an arithmetic number, because the mean of its divisors is an integer number (35570643750).

Almost surely, 22022102020202 is an apocalyptic number.

2022102020202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2022102020202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2276521200000).

2022102020202 is an abundant number, since it is smaller than the sum of its proper divisors (2530940379798).

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

2022102020202 is a wasteful number, since it uses less digits than its factorization.

2022102020202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31976.

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 2022102020202 its reverse (2020202012202), we get a palindrome (4042304032404).

The spelling of 2022102020202 in words is "two trillion, twenty-two billion, one hundred two million, twenty thousand, two hundred two".

Divisors: 1 2 3 6 11 22 33 66 73 89 146 149 178 219 267 298 438 447 534 803 894 979 1606 1639 1958 2409 2937 3278 4818 4917 5874 6497 9834 10877 12994 13261 19491 21754 26522 31649 32631 38982 39783 63298 65262 71467 79566 94947 119647 142934 145871 189894 214401 239294 291742 348139 358941 428802 437613 696278 717882 875226 968053 1044417 1936106 2088834 2310377 2816761 2904159 4620754 4715701 5633522 5808318 6931131 8450283 9431402 10648583 13862262 14147103 16900566 21297166 25414147 28294206 30984371 31945749 50828294 51872711 61968742 63891498 76242441 92953113 103745422 152484882 155618133 185906226 205623553 311236266 344246173 411247106 419697389 616870659 688492346 839394778 1032738519 1233741318 1259092167 2065477038 2261859083 2518184334 3786707903 4523718166 4616671279 6785577249 7573415806 9233342558 11360123709 13571154498 13850013837 22720247418 27700027674 30637909397 61275818794 91913728191 183827456382 337017003367 674034006734 1011051010101 2022102020202