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101313201 = 311101113269
BaseRepresentation
bin1100000100111…
…10101010110001
321001122020120210
412002132222301
5201414010301
614015254333
72340101523
oct602365261
9231566523
10101313201
1152209120
1229b1a3a9
1317cb3452
14d653a13
158d63ad6
hex609eab1

101313201 has 32 divisors (see below), whose sum is σ = 150698880. Its totient is φ = 60032000.

The previous prime is 101313193. The next prime is 101313241. The reversal of 101313201 is 102313101.

It is a cyclic number.

It is not a de Polignac number, because 101313201 - 23 = 101313193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101313241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 376495 + ... + 376763.

It is an arithmetic number, because the mean of its divisors is an integer number (4709340).

Almost surely, 2101313201 is an apocalyptic number.

101313201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101313201 is a deficient number, since it is larger than the sum of its proper divisors (49385679).

101313201 is a wasteful number, since it uses less digits than its factorization.

101313201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 101313201 is about 10065.4458917626. The cubic root of 101313201 is about 466.1818335993.

Adding to 101313201 its reverse (102313101), we get a palindrome (203626302).

The spelling of 101313201 in words is "one hundred one million, three hundred thirteen thousand, two hundred one".

Divisors: 1 3 11 33 101 113 269 303 339 807 1111 1243 2959 3333 3729 8877 11413 27169 30397 34239 81507 91191 125543 298859 334367 376629 896577 1003101 3070097 9210291 33771067 101313201