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2100202022112 = 253108720126131
BaseRepresentation
bin11110100011111101110…
…010111010010011100000
321102202222200121222110020
4132203331302322103200
5233402203204201422
64244453002033440
7304506651432225
oct36437562722340
97382880558406
102100202022112
1173a766320107
1229b0494a8880
13123081b8860c
147391669b94c
153996ed2095c
hex1e8fdcba4e0

2100202022112 has 48 divisors (see below), whose sum is σ = 5518102367232. Its totient is φ = 699423269760.

The previous prime is 2100202022077. The next prime is 2100202022119. The reversal of 2100202022112 is 2112202020012.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 2100202022091 and 2100202022100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100202022119) 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 7 ways as a sum of consecutive naturals, for example, 9958714 + ... + 10167417.

It is an arithmetic number, because the mean of its divisors is an integer number (114960465984).

Almost surely, 22100202022112 is an apocalyptic number.

It is an amenable number.

2100202022112 is an abundant number, since it is smaller than the sum of its proper divisors (3417900345120).

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

2100202022112 is a wasteful number, since it uses less digits than its factorization.

2100202022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20127231 (or 20127223 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2100202022112 its reverse (2112202020012), we get a palindrome (4212404042124).

The spelling of 2100202022112 in words is "two trillion, one hundred billion, two hundred two million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1087 2174 3261 4348 6522 8696 13044 17392 26088 34784 52176 104352 20126131 40252262 60378393 80504524 120756786 161009048 241513572 322018096 483027144 644036192 966054288 1932108576 21877104397 43754208794 65631313191 87508417588 131262626382 175016835176 262525252764 350033670352 525050505528 700067340704 1050101011056 2100202022112