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220001342141 = 725119787697
BaseRepresentation
bin1100110011100100011…
…0100001001010111101
3210000212021100010211002
43030321012201022331
512101030320422031
6245022304140045
721615560360600
oct3147106411275
9700767303732
10220001342141
1185336027629
123677a007625
1317991076979
14a910636337
155ac93a7ccb
hex33391a12bd

220001342141 has 12 divisors (see below), whose sum is σ = 255927845628. Its totient is φ = 188566745472.

The previous prime is 220001342039. The next prime is 220001342153. The reversal of 220001342141 is 141243100022.

220001342141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 218630121241 + 1371220900 = 467579^2 + 37030^2 .

It is not a de Polignac number, because 220001342141 - 214 = 220001325757 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220001342161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2464805 + ... + 2552501.

It is an arithmetic number, because the mean of its divisors is an integer number (21327320469).

Almost surely, 2220001342141 is an apocalyptic number.

It is an amenable number.

220001342141 is a deficient number, since it is larger than the sum of its proper divisors (35926503487).

220001342141 is an equidigital number, since it uses as much as digits as its factorization.

220001342141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138908 (or 138901 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 220001342141 its reverse (141243100022), we get a palindrome (361244442163).

The spelling of 220001342141 in words is "two hundred twenty billion, one million, three hundred forty-two thousand, one hundred forty-one".

Divisors: 1 7 49 51197 87697 358379 613879 2508653 4297153 4489823309 31428763163 220001342141