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2112020202112 = 27100937094409
BaseRepresentation
bin11110101110111110001…
…101101100001010000000
321110220111022121201122121
4132232332031230022000
5234100404132431422
64254125414414024
7305405554340422
oct36567615541200
97426438551577
102112020202112
11744780386717
122a13a7361314
1312421645ca32
14743180aa812
1539e126288c7
hex1ebbe36c280

2112020202112 has 64 divisors (see below), whose sum is σ = 4213801305000. Its totient is φ = 1054439866368.

The previous prime is 2112020202101. The next prime is 2112020202119.

It is a happy number.

2112020202112 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 882352120896 + 1229668081216 = 939336^2 + 1108904^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2112020202119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 479022564 + ... + 479026972.

Almost surely, 22112020202112 is an apocalyptic number.

It is an amenable number.

2112020202112 is a deficient number, since it is larger than the sum of its proper divisors (2101781102888).

2112020202112 is a wasteful number, since it uses less digits than its factorization.

2112020202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9141 (or 9129 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

It can be divided in two parts, 2112020 and 202112, that added together give a palindrome (2314132).

The spelling of 2112020202112 in words is "two trillion, one hundred twelve billion, twenty million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 1009 2018 3709 4036 4409 7418 8072 8818 14836 16144 17636 29672 32288 35272 59344 64576 70544 118688 129152 141088 237376 282176 474752 564352 3742381 4448681 7484762 8897362 14969524 16352981 17794724 29939048 32705962 35589448 59878096 65411924 71178896 119756192 130823848 142357792 239512384 261647696 284715584 479024768 523295392 569431168 1046590784 2093181568 16500157829 33000315658 66000631316 132001262632 264002525264 528005050528 1056010101056 2112020202112