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103131001020 = 223510117018317
BaseRepresentation
bin110000000001100010…
…1100011000010111100
3100212012101011200012110
41200003011203002330
53142203014013040
6115213331134020
710310453021235
oct1400305430274
9325171150173
10103131001020
113a812841553
1217ba2444310
1399573a0278
144dc4c0808c
152a39058980
hex18031630bc

103131001020 has 48 divisors (see below), whose sum is σ = 291625897248. Its totient is φ = 27229305600.

The previous prime is 103131001003. The next prime is 103131001153. The reversal of 103131001020 is 20100131301.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 103131000987 and 103131001005.

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, 8503099 + ... + 8515218.

It is an arithmetic number, because the mean of its divisors is an integer number (6075539526).

Almost surely, 2103131001020 is an apocalyptic number.

103131001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103131001020 is an abundant number, since it is smaller than the sum of its proper divisors (188494896228).

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

103131001020 is a wasteful number, since it uses less digits than its factorization.

103131001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17018430 (or 17018428 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 103131001020 its reverse (20100131301), we get a palindrome (123231132321).

The spelling of 103131001020 in words is "one hundred three billion, one hundred thirty-one million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 606 1010 1212 1515 2020 3030 6060 17018317 34036634 51054951 68073268 85091585 102109902 170183170 204219804 255274755 340366340 510549510 1021099020 1718850017 3437700034 5156550051 6875400068 8594250085 10313100102 17188500170 20626200204 25782750255 34377000340 51565500510 103131001020