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201132121141 = 71571731057883
BaseRepresentation
bin1011101101010001101…
…0001001110000110101
3201020011020120101202001
42323110122021300311
511243404310334031
6232222051215301
720350145551510
oct2732432116065
9636136511661
10201132121141
1178332925606
1232b928a7531
1315c74a38443
149a405c1d77
155372a52861
hex2ed4689c35

201132121141 has 16 divisors (see below), whose sum is σ = 232666775424. Its totient is φ = 170310538944.

The previous prime is 201132121139. The next prime is 201132121163. The reversal of 201132121141 is 141121231102.

201132121141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 201132121141 - 21 = 201132121139 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201132121111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338815 + ... + 719068.

It is an arithmetic number, because the mean of its divisors is an integer number (14541673464).

Almost surely, 2201132121141 is an apocalyptic number.

It is an amenable number.

201132121141 is a deficient number, since it is larger than the sum of its proper divisors (31534654283).

201132121141 is a wasteful number, since it uses less digits than its factorization.

201132121141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058220.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 201132121141 its reverse (141121231102), we get a palindrome (342253352243).

The spelling of 201132121141 in words is "two hundred one billion, one hundred thirty-two million, one hundred twenty-one thousand, one hundred forty-one".

Divisors: 1 7 157 173 1099 1211 27161 190127 1057883 7405181 166087631 183013759 1162613417 1281096313 28733160163 201132121141