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2111012022020 = 2251159511931771
BaseRepresentation
bin11110101110000010000…
…111110010011100000100
321110210220001112212120012
4132232002013302130010
5234041323034201040
64253441401525352
7305341563060026
oct36560207623404
97423801485505
102111012022020
11744303286030
122a11657a3858
131240b561a475
1474260230016
1539da3d7d865
hex1eb821f2704

2111012022020 has 96 divisors (see below), whose sum is σ = 4919220633600. Its totient is φ = 754458710400.

The previous prime is 2111012022013. The next prime is 2111012022023. The reversal of 2111012022020 is 202202101112.

It is a super-2 number, since 2×21110120220202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2111012021986 and 2111012022004.

It is not an unprimeable number, because it can be changed into a prime (2111012022023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66428735 + ... + 66460505.

It is an arithmetic number, because the mean of its divisors is an integer number (51241881600).

Almost surely, 22111012022020 is an apocalyptic number.

2111012022020 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 2111012022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2459610316800).

2111012022020 is an abundant number, since it is smaller than the sum of its proper divisors (2808208611580).

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

2111012022020 is a wasteful number, since it uses less digits than its factorization.

2111012022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36969 (or 36967 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2111012022020 its reverse (202202101112), we get a palindrome (2313214123132).

The spelling of 2111012022020 in words is "two trillion, one hundred eleven billion, twelve million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 59 110 118 220 236 295 590 649 1180 1298 2596 3245 5119 6490 10238 12980 20476 25595 31771 51190 56309 63542 102380 112618 127084 158855 225236 281545 302021 317710 349481 563090 604042 635420 698962 1126180 1208084 1397924 1510105 1747405 1874489 3020210 3322231 3494810 3748978 6040420 6644462 6989620 7497956 9372445 13288924 16611155 18744890 20619379 33222310 37489780 41238758 66444620 82477516 103096895 162635749 206193790 325271498 412387580 650542996 813178745 1626357490 1788993239 3252714980 3577986478 7155972956 8944966195 9595509191 17889932390 19191018382 35779864780 38382036764 47977545955 95955091910 105550601101 191910183820 211101202202 422202404404 527753005505 1055506011010 2111012022020