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2010041434401 = 3711213313753051
BaseRepresentation
bin11101001111111111110…
…011100100000100100001
321010011021020120120101220
4131033333303210010201
5230413031101400101
64135222243445253
7265135462201020
oct35177763440441
97104236516356
102010041434401
117054a9a96100
12285686986829
131177139cb230
146d40231a8b7
1537444822636
hex1d3ffce4121

2010041434401 has 192 divisors, whose sum is σ = 3843837247488. Its totient is φ = 907536960000.

The previous prime is 2010041434397. The next prime is 2010041434421. The reversal of 2010041434401 is 1044341400102.

It is not a de Polignac number, because 2010041434401 - 22 = 2010041434397 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2010041434421) 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 191 ways as a sum of consecutive naturals, for example, 37862326 + ... + 37915376.

It is an arithmetic number, because the mean of its divisors is an integer number (20019985664).

Almost surely, 22010041434401 is an apocalyptic number.

2010041434401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2010041434401 is a deficient number, since it is larger than the sum of its proper divisors (1833795813087).

2010041434401 is a wasteful number, since it uses less digits than its factorization.

2010041434401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53164 (or 53153 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 2010041434401 its reverse (1044341400102), we get a palindrome (3054382834503).

It can be divided in two parts, 2010041 and 434401, that added together give a palindrome (2444442).

The spelling of 2010041434401 in words is "two trillion, ten billion, forty-one million, four hundred thirty-four thousand, four hundred one".