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203001131131 = 71107113236471
BaseRepresentation
bin1011110100001111001…
…1110111000001111011
3201101222111102221110021
42331003303313001323
511311221242144011
6233131334431311
720444362100311
oct2750363670173
9641874387407
10203001131131
1179101934467
1233414802537
13161b200b506
149b7a9000b1
155431b8d471
hex2f43cf707b

203001131131 has 16 divisors (see below), whose sum is σ = 209623915008. Its totient is φ = 196516028800.

The previous prime is 203001131117. The next prime is 203001131147. The reversal of 203001131131 is 131131100302.

It is a de Polignac number, because none of the positive numbers 2k-203001131131 is a prime.

It is a super-3 number, since 3×2030011311313 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (203001191131) 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 15 ways as a sum of consecutive naturals, for example, 740226 + ... + 976696.

It is an arithmetic number, because the mean of its divisors is an integer number (13101494688).

Almost surely, 2203001131131 is an apocalyptic number.

203001131131 is a deficient number, since it is larger than the sum of its proper divisors (6622783877).

203001131131 is a wasteful number, since it uses less digits than its factorization.

203001131131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236762.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 203001131131 its reverse (131131100302), we get a palindrome (334132231433).

The spelling of 203001131131 in words is "two hundred three billion, one million, one hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 71 107 113 7597 8023 12091 236471 858461 16789441 25302397 26721223 1796470187 1897206833 2859170861 203001131131