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101234201 = 1723211257
BaseRepresentation
bin1100000100010…
…11011000011001
321001111020012212
412002023120121
5201403443301
614013444505
72336322305
oct602133031
9231436185
10101234201
1152164832
1229aa0735
1317c864c3
14d632d05
158d4a4bb
hex608b619

101234201 has 12 divisors (see below), whose sum is σ = 112062132. Its totient is φ = 91128576.

The previous prime is 101234191. The next prime is 101234209. The reversal of 101234201 is 102432101.

It can be written as a sum of positive squares in 2 ways, for example, as 82537225 + 18696976 = 9085^2 + 4324^2 .

It is a de Polignac number, because none of the positive numbers 2k-101234201 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 (101234209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3365 + ... + 14621.

It is an arithmetic number, because the mean of its divisors is an integer number (9338511).

Almost surely, 2101234201 is an apocalyptic number.

It is an amenable number.

101234201 is a deficient number, since it is larger than the sum of its proper divisors (10827931).

101234201 is a wasteful number, since it uses less digits than its factorization.

101234201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11320 (or 11297 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 101234201 is about 10061.5208094999. The cubic root of 101234201 is about 466.0606320807.

Adding to 101234201 its reverse (102432101), we get a palindrome (203666302).

The spelling of 101234201 in words is "one hundred one million, two hundred thirty-four thousand, two hundred one".

Divisors: 1 17 23 391 529 8993 11257 191369 258911 4401487 5954953 101234201