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3131000031 = 33133666667
BaseRepresentation
bin1011101010011111…
…0100010011011111
322002012112021121010
42322213310103133
522403014000111
61234404110303
7140406026655
oct27247642337
98065467533
103131000031
111367405735
12734695393
133ab890253
14219b86dd5
15134d1daa6
hexba9f44df

3131000031 has 8 divisors (see below), whose sum is σ = 4309333504. Its totient is φ = 2019999960.

The previous prime is 3131000029. The next prime is 3131000053. The reversal of 3131000031 is 1300001313.

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

It is not a de Polignac number, because 3131000031 - 21 = 3131000029 is a prime.

It is a super-2 number, since 2×31310000312 = 19606322388244001922, 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 = 3130999980 and 3131000016.

It is a congruent number.

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, 16833241 + ... + 16833426.

It is an arithmetic number, because the mean of its divisors is an integer number (538666688).

Almost surely, 23131000031 is an apocalyptic number.

3131000031 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3131000031 is a deficient number, since it is larger than the sum of its proper divisors (1178333473).

3131000031 is a wasteful number, since it uses less digits than its factorization.

3131000031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33666701.

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 3131000031 is about 55955.3396111578. The cubic root of 3131000031 is about 1462.9439614100.

Adding to 3131000031 its reverse (1300001313), we get a palindrome (4431001344).

The spelling of 3131000031 in words is "three billion, one hundred thirty-one million, thirty-one", and thus it is an aban number.

Divisors: 1 3 31 93 33666667 101000001 1043666677 3131000031