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3131420020 = 2251926331333
BaseRepresentation
bin1011101010100101…
…1010110101110100
322002020022121201021
42322221122311310
522403120420040
61234421110524
7140412426301
oct27251326564
98066277637
103131420020
111367672233
12734858444
133ab9a9471
14219c560a8
15134da324a
hexbaa5ad74

3131420020 has 48 divisors (see below), whose sum is σ = 6948627840. Its totient is φ = 1182093696.

The previous prime is 3131419999. The next prime is 3131420063. The reversal of 3131420020 is 200241313.

It is a happy number.

It is a super-4 number, since 4×31314200204 (a number of 39 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3131419976 and 3131420003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84274 + ... + 115606.

It is an arithmetic number, because the mean of its divisors is an integer number (144763080).

Almost surely, 23131420020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3131420020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3474313920).

3131420020 is an abundant number, since it is smaller than the sum of its proper divisors (3817207820).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3131420020 is a wasteful number, since it uses less digits than its factorization.

3131420020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31624 (or 31622 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3131420020 is about 55959.0923800592. The cubic root of 3131420020 is about 1463.0093710655.

Adding to 3131420020 its reverse (200241313), we get a palindrome (3331661333).

The spelling of 3131420020 in words is "three billion, one hundred thirty-one million, four hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 263 380 526 1052 1315 2630 4997 5260 9994 19988 24985 31333 49970 62666 99940 125332 156665 313330 595327 626660 1190654 2381308 2976635 5953270 8240579 11906540 16481158 32962316 41202895 82405790 156571001 164811580 313142002 626284004 782855005 1565710010 3131420020