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110202012210020 = 22597160935304637
BaseRepresentation
bin11001000011101001100111…
…110010101001001101100100
3112110012012122201011022211112
4121003221213302221031210
5103421022210111210040
61030214034442324152
732132555411131223
oct3103514762511544
9473165581138745
10110202012210020
1132128457a28585
1210439a7aab9658
13496500b451443
141d2db3d378cba
15cb191965c365
hex643a67ca9364

110202012210020 has 48 divisors (see below), whose sum is σ = 233955362912880. Its totient is φ = 43599248400384.

The previous prime is 110202012210019. The next prime is 110202012210071. The reversal of 110202012210020 is 20012210202011.

It can be written as a sum of positive squares in 8 ways, for example, as 25727862085696 + 84474150124324 = 5072264^2 + 9190982^2 .

It is a junction number, because it is equal to n+sod(n) for n = 110202012209977 and 110202012210004.

It is an unprimeable number.

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, 14530859 + ... + 20773778.

It is an arithmetic number, because the mean of its divisors is an integer number (4874070060685).

Almost surely, 2110202012210020 is an apocalyptic number.

110202012210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110202012210020 is an abundant number, since it is smaller than the sum of its proper divisors (123753350702860).

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

110202012210020 is a wasteful number, since it uses less digits than its factorization.

110202012210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35306352 (or 35306350 counting only the distinct ones).

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

Adding to 110202012210020 its reverse (20012210202011), we get a palindrome (130214222412031).

The spelling of 110202012210020 in words is "one hundred ten trillion, two hundred two billion, twelve million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 97 194 388 485 970 1609 1940 3218 6436 8045 16090 32180 156073 312146 624292 780365 1560730 3121460 35304637 70609274 141218548 176523185 353046370 706092740 3424549789 6849099578 13698199156 17122748945 34245497890 56805160933 68490995780 113610321866 227220643732 284025804665 568051609330 1136103218660 5510100610501 11020201221002 22040402442004 27550503052505 55101006105010 110202012210020