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203401444131001 = 292426997566413
BaseRepresentation
bin101110001111111000010110…
…110100110000000010111001
3222200011222200100212011022201
4232033320112310300002321
5203130012124144143001
62000333200005550201
760562161254350234
oct5617702664600271
9880158610764281
10203401444131001
11598a0082602416
121a990690115361
13896589b68a7ac
14383297a7dc41b
15187ae11d8c501
hexb8fe16d300b9

203401444131001 has 12 divisors (see below), whose sum is σ = 210658008944812. Its totient is φ = 196386794581824.

The previous prime is 203401444130993. The next prime is 203401444131019. The reversal of 203401444131001 is 100131444104302.

203401444131001 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 6 ways, for example, as 3000586128400 + 200400858002601 = 1732220^2 + 14156301^2 .

It is not a de Polignac number, because 203401444131001 - 23 = 203401444130993 is a prime.

It is a super-2 number, since 2×2034014441310012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (203401444131031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 358821271 + ... + 359387683.

Almost surely, 2203401444131001 is an apocalyptic number.

It is an amenable number.

203401444131001 is a deficient number, since it is larger than the sum of its proper divisors (7256564813811).

203401444131001 is an equidigital number, since it uses as much as digits as its factorization.

203401444131001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993468 (or 993439 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 203401444131001 its reverse (100131444104302), we get a palindrome (303532888235303).

The spelling of 203401444131001 in words is "two hundred three trillion, four hundred one billion, four hundred forty-four million, one hundred thirty-one thousand, one".

Divisors: 1 29 841 426997 566413 12382913 16425977 359104477 476353333 241856651761 7013842901069 203401444131001