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201001110101 = 111013074331361
BaseRepresentation
bin1011101100110010011…
…0011000101001010101
3201012211010001100101022
42323030212120221111
511243122241010401
6232201051210525
720343665150231
oct2731446305125
9635733040338
10201001110101
1178275983020
1232b56a46a45
1315c5385770c
149a2b03b5c1
1553662c471b
hex2ecc998a55

201001110101 has 32 divisors (see below), whose sum is σ = 222842987136. Its totient is φ = 179781120000.

The previous prime is 201001110047. The next prime is 201001110119. The reversal of 201001110101 is 101011100102.

It is a happy number.

201001110101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-201001110101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201001110161) 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 31 ways as a sum of consecutive naturals, for example, 147685661 + ... + 147687021.

It is an arithmetic number, because the mean of its divisors is an integer number (6963843348).

Almost surely, 2201001110101 is an apocalyptic number.

It is an amenable number.

201001110101 is a deficient number, since it is larger than the sum of its proper divisors (21841877035).

201001110101 is a wasteful number, since it uses less digits than its factorization.

201001110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2213.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 201001110101 its reverse (101011100102), we get a palindrome (302012210203).

Subtracting from 201001110101 its reverse (101011100102), we obtain a palindrome (99990009999).

The spelling of 201001110101 in words is "two hundred one billion, one million, one hundred ten thousand, one hundred one".

Divisors: 1 11 101 307 433 1111 1361 3377 4763 14971 31007 43733 132931 137461 341077 417827 481063 589313 1462241 1512071 4596097 6482443 13426031 42200527 59520613 147686341 180919091 464205797 654726743 1990110001 18272828191 201001110101