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3131000041 = 131714167421
BaseRepresentation
bin1011101010011111…
…0100010011101001
322002012112021121111
42322213310103221
522403014000131
61234404110321
7140406030001
oct27247642351
98065467544
103131000041
111367405744
127346953a1
133ab890260
14219b87001
15134d1dab1
hexba9f44e9

3131000041 has 8 divisors (see below), whose sum is σ = 3570190344. Its totient is φ = 2720144640.

The previous prime is 3131000029. The next prime is 3131000053. The reversal of 3131000041 is 1400001313.

It is an interprime number because it is at equal distance from previous prime (3131000029) and next prime (3131000053).

It can be written as a sum of positive squares in 4 ways, for example, as 51194025 + 3079806016 = 7155^2 + 55496^2 .

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 3131000041 - 211 = 3130997993 is a prime.

It is a super-2 number, since 2×31310000412 = 19606322513484003362, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3130999985 and 3131000030.

It is not an unprimeable number, because it can be changed into a prime (3131000021) 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, 7083490 + ... + 7083931.

It is an arithmetic number, because the mean of its divisors is an integer number (446273793).

Almost surely, 23131000041 is an apocalyptic number.

It is an amenable number.

3131000041 is a deficient number, since it is larger than the sum of its proper divisors (439190303).

3131000041 is a wasteful number, since it uses less digits than its factorization.

3131000041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14167451.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 3131000041 is about 55955.3397005147. The cubic root of 3131000041 is about 1462.9439629675.

Adding to 3131000041 its reverse (1400001313), we get a palindrome (4531001354).

The spelling of 3131000041 in words is "three billion, one hundred thirty-one million, forty-one", and thus it is an aban number.

Divisors: 1 13 17 221 14167421 184176473 240846157 3131000041