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202020222211122 = 23723720279162037
BaseRepresentation
bin101101111011110001111111…
…100101010001010000110010
3222111021221111122010200010210
4231323301333211101100302
5202434344403341223442
61553354450414404550
760360323301632400
oct5573617745212062
9874257448120123
10202020222211122
1159408327866707
121a7a8a57800756
13889556b260b43
1437c5b8c0c0470
15185502257d19c
hexb7bc7f951432

202020222211122 has 96 divisors (see below), whose sum is σ = 482947294759488. Its totient is φ = 56132349646464.

The previous prime is 202020222211117. The next prime is 202020222211133. The reversal of 202020222211122 is 221112222020202.

It is a super-2 number, since 2×2020202222111222 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 17468688 + ... + 26630724.

It is an arithmetic number, because the mean of its divisors is an integer number (5030700987078).

Almost surely, 2202020222211122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202020222211122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241473647379744).

202020222211122 is an abundant number, since it is smaller than the sum of its proper divisors (280927072548366).

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

202020222211122 is a wasteful number, since it uses less digits than its factorization.

202020222211122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9164120 (or 9164113 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 202020222211122 its reverse (221112222020202), we get a palindrome (423132444231324).

The spelling of 202020222211122 in words is "two hundred two trillion, twenty billion, two hundred twenty-two million, two hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 37 42 49 74 98 111 147 222 259 294 518 777 1554 1813 2027 3626 4054 5439 6081 10878 12162 14189 28378 42567 74999 85134 99323 149998 198646 224997 297969 449994 524993 595938 1049986 1574979 3149958 3674951 7349902 9162037 11024853 18324074 22049706 27486111 54972222 64134259 128268518 192402777 338995369 384805554 448939813 677990738 897879626 1016986107 1346819439 2033972214 2372967583 2693638878 4745935166 7118902749 14237805498 16610773081 18571448999 33221546162 37142897998 49832319243 55714346997 99664638486 111428693994 130000142993 260000285986 390000428979 687143612963 780000857958 910001000951 1374287225926 1820002001902 2061430838889 2730003002853 4122861677778 4810005290741 5460006005706 9620010581482 14430015872223 28860031744446 33670037035187 67340074070374 101010111105561 202020222211122