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10011122000220 = 22351186027176321
BaseRepresentation
bin1001000110101110010101…
…0111101110000101011100
31022110001110022020101220110
42101223211113232011130
52303010234213001340
633143013532050020
72052164635652025
oct221534527560534
938401408211813
1010011122000220
11320a76941a440
121158280603910
1357807742a343
142687802b9c4c
1512562b580680
hex91ae55ee15c

10011122000220 has 96 divisors (see below), whose sum is σ = 30579956096256. Its totient is φ = 2426896691200.

The previous prime is 10011122000189. The next prime is 10011122000221. The reversal of 10011122000220 is 2200022111001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10011122000196 and 10011122000205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011122000221) by changing a digit.

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, 56689660 + ... + 56865980.

It is an arithmetic number, because the mean of its divisors is an integer number (318541209336).

Almost surely, 210011122000220 is an apocalyptic number.

10011122000220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011122000220 is an abundant number, since it is smaller than the sum of its proper divisors (20568834096036).

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

10011122000220 is a wasteful number, since it uses less digits than its factorization.

10011122000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262371 (or 262369 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10011122000220 its reverse (2200022111001), we get a palindrome (12211144111221).

The spelling of 10011122000220 in words is "ten trillion, eleven billion, one hundred twenty-two million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 86027 172054 176321 258081 344108 352642 430135 516162 528963 705284 860270 881605 946297 1032324 1057926 1290405 1720540 1763210 1892594 1939531 2115852 2580810 2644815 2838891 3526420 3785188 3879062 4731485 5161620 5289630 5677782 5818593 7758124 9462970 9697655 10579260 11355564 11637186 14194455 18925940 19395310 23274372 28388910 29092965 38790620 56777820 58185930 116371860 15168366667 30336733334 45505100001 60673466668 75841833335 91010200002 151683666670 166852033337 182020400004 227525500005 303367333340 333704066674 455051000010 500556100011 667408133348 834260166685 910102000020 1001112200022 1668520333370 2002224400044 2502780500055 3337040666740 5005561000110 10011122000220