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101693601 = 3237330293
BaseRepresentation
bin1100000111110…
…11100010100001
321002100120101200
412003323202201
5202013143401
614031351413
72343244542
oct603734241
9232316350
10101693601
11524489a9
122a082569
13180b7639
14d7124c9
158ddb686
hex60fb8a1

101693601 has 12 divisors (see below), whose sum is σ = 147289428. Its totient is φ = 67611744.

The previous prime is 101693587. The next prime is 101693611. The reversal of 101693601 is 106396101.

It can be written as a sum of positive squares in 2 ways, for example, as 48986001 + 52707600 = 6999^2 + 7260^2 .

It is not a de Polignac number, because 101693601 - 29 = 101693089 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101693611) 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 11 ways as a sum of consecutive naturals, for example, 11790 + ... + 18503.

It is an arithmetic number, because the mean of its divisors is an integer number (12274119).

Almost surely, 2101693601 is an apocalyptic number.

It is an amenable number.

101693601 is a deficient number, since it is larger than the sum of its proper divisors (45595827).

101693601 is a wasteful number, since it uses less digits than its factorization.

101693601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30672 (or 30669 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 101693601 is about 10084.3245187767. The cubic root of 101693601 is about 466.7645614922.

The spelling of 101693601 in words is "one hundred one million, six hundred ninety-three thousand, six hundred one".

Divisors: 1 3 9 373 1119 3357 30293 90879 272637 11299289 33897867 101693601