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918090101 = 10118150221
BaseRepresentation
bin110110101110001…
…111000101110101
32100222112210212002
4312232033011311
53340012340401
6231033505045
731515431345
oct6656170565
92328483762
10918090101
11431268755
12217572185
1311828b6a6
1489d08d25
1555901a6b
hex36b8f175

918090101 has 8 divisors (see below), whose sum is σ = 932321208. Its totient is φ = 903960000.

The previous prime is 918090097. The next prime is 918090161. The reversal of 918090101 is 101090819.

It can be written as a sum of positive squares in 4 ways, for example, as 19589476 + 898500625 = 4426^2 + 29975^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 918090101 - 22 = 918090097 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 (918090161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6830 + ... + 43391.

It is an arithmetic number, because the mean of its divisors is an integer number (116540151).

Almost surely, 2918090101 is an apocalyptic number.

It is an amenable number.

918090101 is a deficient number, since it is larger than the sum of its proper divisors (14231107).

918090101 is a wasteful number, since it uses less digits than its factorization.

918090101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50503.

The product of its (nonzero) digits is 648, while the sum is 29.

The square root of 918090101 is about 30300.0016666666. The cubic root of 918090101 is about 971.9153358858.

The spelling of 918090101 in words is "nine hundred eighteen million, ninety thousand, one hundred one".

Divisors: 1 101 181 18281 50221 5072321 9090001 918090101