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201044431323 = 33173733913491
BaseRepresentation
bin1011101100111100101…
…1101001000111011011
3201012221010120021221000
42323033023221013123
511243214333300243
6232205235520043
720345032320201
oct2731713510733
9635833507830
10201044431323
117829838198a
1232b69459023
1315c5c814b88
149a32ab7071
155369ed05d3
hex2ecf2e91db

201044431323 has 64 divisors (see below), whose sum is σ = 324075479040. Its totient is φ = 122664844800.

The previous prime is 201044431319. The next prime is 201044431361. The reversal of 201044431323 is 323134440102.

201044431323 is a `hidden beast` number, since 201 + 0 + 4 + 4 + 431 + 3 + 23 = 666.

It is not a de Polignac number, because 201044431323 - 22 = 201044431319 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (201044431373) 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 63 ways as a sum of consecutive naturals, for example, 57587608 + ... + 57591098.

It is an arithmetic number, because the mean of its divisors is an integer number (5063679360).

Almost surely, 2201044431323 is an apocalyptic number.

201044431323 is a deficient number, since it is larger than the sum of its proper divisors (123031047717).

201044431323 is a wasteful number, since it uses less digits than its factorization.

201044431323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6945 (or 6939 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 201044431323 its reverse (323134440102), we get a palindrome (524178871425).

The spelling of 201044431323 in words is "two hundred one billion, forty-four million, four hundred thirty-one thousand, three hundred twenty-three".

Divisors: 1 3 9 17 27 37 51 111 153 333 459 629 999 1887 3391 3491 5661 10173 10473 16983 30519 31419 57647 59347 91557 94257 125467 129167 172941 178041 376401 387501 518823 534123 1129203 1162503 1556469 1602369 2132939 2195839 3387609 3487509 6398817 6587517 11837981 19196451 19762551 35513943 57589353 59287653 106541829 201245677 319625487 438005297 603737031 1314015891 1811211093 3942047673 5433633279 7446090049 11826143019 22338270147 67014810441 201044431323