Search a number
-
+
9201920100101 = 173946113717073
BaseRepresentation
bin1000010111100111110100…
…1011011100011100000101
31012120200202122002201000022
42011321331023130130011
52201231013021200401
631323145335024525
71636550105205611
oct205717513343405
935520678081008
109201920100101
112a28570003a13
12104748850b145
13519977c2c571
1423b537bc4341
1510e56a4ce71b
hex85e7d2dc705

9201920100101 has 8 divisors (see below), whose sum is σ = 9743457135384. Its totient is φ = 8660410577920.

The previous prime is 9201920100083. The next prime is 9201920100167. The reversal of 9201920100101 is 1010010291029.

It can be written as a sum of positive squares in 4 ways, for example, as 1123398609025 + 8078521491076 = 1059905^2 + 2842274^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-9201920100101 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 (9201920100181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6187700 + ... + 7529373.

It is an arithmetic number, because the mean of its divisors is an integer number (1217932141923).

Almost surely, 29201920100101 is an apocalyptic number.

It is an amenable number.

9201920100101 is a deficient number, since it is larger than the sum of its proper divisors (541537035283).

9201920100101 is a wasteful number, since it uses less digits than its factorization.

9201920100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13756551.

The product of its (nonzero) digits is 324, while the sum is 26.

The spelling of 9201920100101 in words is "nine trillion, two hundred one billion, nine hundred twenty million, one hundred thousand, one hundred one".

Divisors: 1 17 39461 670837 13717073 233190241 541289417653 9201920100101