Search a number
-
+
132044114302011 = 322910913933391601
BaseRepresentation
bin11110000001011111101010…
…100001110001010000111011
3122022112021221100200212120100
4132001133222201301100323
5114301402321230131021
61144500121221330443
736545605150454112
oct3601375241612073
9568467840625510
10132044114302011
113908965a16004a
121298704a866a23
13588a9253a0a32
142486d7d804c79
15103eb85360626
hex7817ea87143b

132044114302011 has 48 divisors (see below), whose sum is σ = 200549961612000. Its totient is φ = 83608292275200.

The previous prime is 132044114301929. The next prime is 132044114302033. The reversal of 132044114302011 is 110203411440231.

It is a happy number.

132044114302011 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 4 + 411 + 43 + 0 + 201 + 1 = 666.

132044114302011 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 132044114302011 - 211 = 132044114299963 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132044114302211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12741390 + ... + 20650211.

It is an arithmetic number, because the mean of its divisors is an integer number (4178124200250).

Almost surely, 2132044114302011 is an apocalyptic number.

132044114302011 is a deficient number, since it is larger than the sum of its proper divisors (68505847309989).

132044114302011 is a wasteful number, since it uses less digits than its factorization.

132044114302011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33391884 (or 33391881 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 132044114302011 its reverse (110203411440231), we get a palindrome (242247525742242).

The spelling of 132044114302011 in words is "one hundred thirty-two trillion, forty-four billion, one hundred fourteen million, three hundred two thousand, eleven".

Divisors: 1 3 9 29 87 109 139 261 327 417 981 1251 3161 4031 9483 12093 15151 28449 36279 45453 136359 439379 1318137 3954411 33391601 100174803 300524409 968356429 2905069287 3639684509 4641432539 8715207861 10919053527 13924297617 32757160581 41772892851 105550850761 134601543631 316652552283 403804630893 505916146751 949957656849 1211413892679 1517748440253 4553245320759 14671568255779 44014704767337 132044114302011