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2112200011020 = 2235113200303047
BaseRepresentation
bin11110101111001000111…
…011100110110100001100
321110220221211221222002210
4132233020323212310030
5234101241200323040
64254155320350420
7305413166601561
oct36571073466414
97426854858083
102112200011020
11744862928820
122a1437615410
13124244797938
1474333d14868
1539e232e5480
hex1ebc8ee6d0c

2112200011020 has 48 divisors (see below), whose sum is σ = 6451810944768. Its totient is φ = 512048487360.

The previous prime is 2112200010953. The next prime is 2112200011021. The reversal of 2112200011020 is 201100022112.

It is a super-2 number, since 2×21122000110202 (a number of 25 digits) contains 22 as substring.

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 = 2112200010987 and 2112200011005.

It is not an unprimeable number, because it can be changed into a prime (2112200011021) 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 15 ways as a sum of consecutive naturals, for example, 1600150864 + ... + 1600152183.

It is an arithmetic number, because the mean of its divisors is an integer number (134412728016).

Almost surely, 22112200011020 is an apocalyptic number.

2112200011020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112200011020 is an abundant number, since it is smaller than the sum of its proper divisors (4339610933748).

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

2112200011020 is a wasteful number, since it uses less digits than its factorization.

2112200011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3200303070 (or 3200303068 counting only the distinct ones).

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

Adding to 2112200011020 its reverse (201100022112), we get a palindrome (2313300033132).

The spelling of 2112200011020 in words is "two trillion, one hundred twelve billion, two hundred million, eleven thousand, twenty".

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 3200303047 6400606094 9600909141 12801212188 16001515235 19201818282 32003030470 35203333517 38403636564 48004545705 64006060940 70406667034 96009091410 105610000551 140813334068 176016667585 192018182820 211220001102 352033335170 422440002204 528050002755 704066670340 1056100005510 2112200011020