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201044434131 = 345153481667
BaseRepresentation
bin1011101100111100101…
…1101001110011010011
3201012221010120102210000
42323033023221303103
511243214333343011
6232205235541043
720345032331322
oct2731713516323
9635833512700
10201044434131
1178298384002
1232b6945a783
1315c5c816238
149a32ab80b9
155369ed1356
hex2ecf2e9cd3

201044434131 has 20 divisors (see below), whose sum is σ = 300384541512. Its totient is φ = 134003334528.

The previous prime is 201044434117. The next prime is 201044434159. The reversal of 201044434131 is 131434440102.

201044434131 is a `hidden beast` number, since 201 + 0 + 4 + 4 + 43 + 413 + 1 = 666.

It is not a de Polignac number, because 201044434131 - 217 = 201044303059 is a prime.

It is a super-2 number, since 2×2010444341312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 201044434095 and 201044434104.

It is not an unprimeable number, because it can be changed into a prime (201044434531) 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 19 ways as a sum of consecutive naturals, for example, 176560 + ... + 658226.

Almost surely, 2201044434131 is an apocalyptic number.

201044434131 is a deficient number, since it is larger than the sum of its proper divisors (99340107381).

201044434131 is an equidigital number, since it uses as much as digits as its factorization.

201044434131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486832 (or 486823 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 201044434131 its reverse (131434440102), we get a palindrome (332478874233).

The spelling of 201044434131 in words is "two hundred one billion, forty-four million, four hundred thirty-four thousand, one hundred thirty-one".

Divisors: 1 3 9 27 81 5153 15459 46377 139131 417393 481667 1445001 4335003 13005009 39015027 2482030051 7446090153 22338270459 67014811377 201044434131