Search a number
-
+
3100000031 = 17315882353
BaseRepresentation
bin1011100011000110…
…0011111100011111
322000001012022120222
42320301203330133
522322100000111
61231335431555
7136551364652
oct27061437437
98001168528
103100000031
1113509619a7
127262255bb
133a532805b
142159d7899
151322487db
hexb8c63f1f

3100000031 has 8 divisors (see below), whose sum is σ = 3388235904. Its totient is φ = 2823528960.

The previous prime is 3100000027. The next prime is 3100000039. The reversal of 3100000031 is 1300000013.

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 3100000031 - 22 = 3100000027 is a prime.

It is a super-2 number, since 2×31000000312 = 19220000384400001922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3099999964 and 3100000018.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3100000039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2940650 + ... + 2941703.

It is an arithmetic number, because the mean of its divisors is an integer number (423529488).

Almost surely, 23100000031 is an apocalyptic number.

3100000031 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3100000031 is a deficient number, since it is larger than the sum of its proper divisors (288235873).

3100000031 is a wasteful number, since it uses less digits than its factorization.

3100000031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882401.

The product of its (nonzero) digits is 9, while the sum is 8.

The square root of 3100000031 is about 55677.6439066884. The cubic root of 3100000031 is about 1458.0997406870.

Adding to 3100000031 its reverse (1300000013), we get a palindrome (4400000044).

It can be divided in two parts, 31000000 and 31, that multiplied together give a square (961000000 = 310002).

The spelling of 3100000031 in words is "three billion, one hundred million, thirty-one", and thus it is an aban number.

Divisors: 1 17 31 527 5882353 100000001 182352943 3100000031