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202241014001 = 13291605733409
BaseRepresentation
bin1011110001011010000…
…0001111100011110001
3201100000112010222202222
42330112200033203301
511303142144422001
6232524102450425
720416502153345
oct2742640174361
9640015128688
10202241014001
1178851864194
1233242133a15
13160c06b0a70
149b07997625
1553da09361b
hex2f1680f8f1

202241014001 has 16 divisors (see below), whose sum is σ = 225329067600. Its totient is φ = 180230012928.

The previous prime is 202241013917. The next prime is 202241014007. The reversal of 202241014001 is 100410142202.

202241014001 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 8 ways, for example, as 29350542400 + 172890471601 = 171320^2 + 415801^2 .

It is not a de Polignac number, because 202241014001 - 214 = 202240997617 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (202241014007) 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 15 ways as a sum of consecutive naturals, for example, 6036785 + ... + 6070193.

It is an arithmetic number, because the mean of its divisors is an integer number (14083066725).

Almost surely, 2202241014001 is an apocalyptic number.

It is an amenable number.

202241014001 is a deficient number, since it is larger than the sum of its proper divisors (23088053599).

202241014001 is a wasteful number, since it uses less digits than its factorization.

202241014001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49508.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 202241014001 its reverse (100410142202), we get a palindrome (302651156203).

The spelling of 202241014001 in words is "two hundred two billion, two hundred forty-one million, fourteen thousand, one".

Divisors: 1 13 29 377 16057 33409 208741 434317 465653 968861 6053489 12595193 536448313 6973828069 15557001077 202241014001