Search a number
-
+
201044444121 = 33103245929399
BaseRepresentation
bin1011101100111100101…
…1101100001111011001
3201012221010120221111000
42323033023230033121
511243214334202441
6232205240055213
720345032402413
oct2731713541731
9635833527430
10201044444121
1178298390564
1232b69464509
1315c5c81a951
149a32abb9b3
155369ed42b6
hex2ecf2ec3d9

201044444121 has 32 divisors (see below), whose sum is σ = 300867840000. Its totient is φ = 132669881424.

The previous prime is 201044444093. The next prime is 201044444129. The reversal of 201044444121 is 121444440102.

It is a happy number.

201044444121 is a `hidden beast` number, since 201 + 0 + 4 + 4 + 44 + 412 + 1 = 666.

It is not a de Polignac number, because 201044444121 - 233 = 192454509529 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 (201044444129) 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 31 ways as a sum of consecutive naturals, for example, 6823780 + ... + 6853178.

It is an arithmetic number, because the mean of its divisors is an integer number (9402120000).

Almost surely, 2201044444121 is an apocalyptic number.

It is an amenable number.

201044444121 is a deficient number, since it is larger than the sum of its proper divisors (99823395879).

201044444121 is a wasteful number, since it uses less digits than its factorization.

201044444121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31970 (or 31964 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 201044444121 its reverse (121444440102), we get a palindrome (322488884223).

The spelling of 201044444121 in words is "two hundred one billion, forty-four million, four hundred forty-four thousand, one hundred twenty-one".

Divisors: 1 3 9 27 103 309 927 2459 2781 7377 22131 29399 66393 88197 253277 264591 759831 793773 2279493 3028097 6838479 9084291 27252873 72292141 81758619 216876423 650629269 1951887807 7446090523 22338271569 67014814707 201044444121