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102031101 = 3261185849
BaseRepresentation
bin1100001010011…
…01111011111101
321002222201100200
412011031323331
5202104443401
614042514113
72346151524
oct605157375
9232881320
10102031101
1152659527
122a205939
13181a5143
14d79d4bb
158e56686
hex614defd

102031101 has 12 divisors (see below), whose sum is σ = 149795100. Its totient is φ = 66905280.

The previous prime is 102031091. The next prime is 102031129. The reversal of 102031101 is 101130201.

It can be written as a sum of positive squares in 2 ways, for example, as 3426201 + 98604900 = 1851^2 + 9930^2 .

It is not a de Polignac number, because 102031101 - 26 = 102031037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102031301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92376 + ... + 93473.

It is an arithmetic number, because the mean of its divisors is an integer number (12482925).

Almost surely, 2102031101 is an apocalyptic number.

It is an amenable number.

102031101 is a deficient number, since it is larger than the sum of its proper divisors (47763999).

102031101 is a wasteful number, since it uses less digits than its factorization.

102031101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185916 (or 185913 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 102031101 is about 10101.0445499463. The cubic root of 102031101 is about 467.2803562764.

Adding to 102031101 its reverse (101130201), we get a palindrome (203161302).

The spelling of 102031101 in words is "one hundred two million, thirty-one thousand, one hundred one".

Divisors: 1 3 9 61 183 549 185849 557547 1672641 11336789 34010367 102031101