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202144421401 = 13234759142061
BaseRepresentation
bin1011110001000010111…
…1110001011000011001
3201022202210101120122021
42330100233301120121
511302442432441101
6232510332254441
720414220142306
oct2742057613031
9638683346567
10202144421401
117880228a79a
1233215911421
13160a6691190
149ad8c120ad
1553d18635a1
hex2f10bf1619

202144421401 has 16 divisors (see below), whose sum is σ = 227208280320. Its totient is φ = 178443270720.

The previous prime is 202144421357. The next prime is 202144421429. The reversal of 202144421401 is 104124441202.

It is a happy number.

202144421401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 202144421401 - 211 = 202144419353 is a prime.

It is a super-3 number, since 3×2021444214013 (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (202144424401) 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, 1351911 + ... + 1493971.

It is an arithmetic number, because the mean of its divisors is an integer number (14200517520).

Almost surely, 2202144421401 is an apocalyptic number.

It is an amenable number.

202144421401 is a deficient number, since it is larger than the sum of its proper divisors (25063858919).

202144421401 is a wasteful number, since it uses less digits than its factorization.

202144421401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146856.

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 202144421401 its reverse (104124441202), we get a palindrome (306268862603).

The spelling of 202144421401 in words is "two hundred two billion, one hundred forty-four million, four hundred twenty-one thousand, four hundred one".

Divisors: 1 13 23 299 4759 61867 109457 142061 1422941 1846793 3267403 42476239 676068299 8788887887 15549570877 202144421401