Search a number
-
+
103031312020 = 225713346916319
BaseRepresentation
bin101111111110100100…
…1010000111010010100
3100211221102120221121021
41133331021100322110
53142002003441040
6115155410330524
710305132462610
oct1377511207224
9324842527537
10103031312020
113a77154274a
1217b74b89a44
13993c8381b0
144db5898340
152a3041624a
hex17fd250e94

103031312020 has 96 divisors (see below), whose sum is σ = 266389401600. Its totient is φ = 32596314624.

The previous prime is 103031311993. The next prime is 103031312039. The reversal of 103031312020 is 20213130301.

It is a junction number, because it is equal to n+sod(n) for n = 103031311985 and 103031312003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6305421 + ... + 6321739.

It is an arithmetic number, because the mean of its divisors is an integer number (2774889600).

Almost surely, 2103031312020 is an apocalyptic number.

103031312020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103031312020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133194700800).

103031312020 is an abundant number, since it is smaller than the sum of its proper divisors (163358089580).

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

103031312020 is a wasteful number, since it uses less digits than its factorization.

103031312020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19817 (or 19815 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 103031312020 its reverse (20213130301), we get a palindrome (123244442321).

The spelling of 103031312020 in words is "one hundred three billion, thirty-one million, three hundred twelve thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1820 3469 6938 13876 16319 17345 24283 32638 34690 45097 48566 65276 69380 81595 90194 97132 114233 121415 163190 180388 212147 225485 228466 242830 315679 326380 424294 450970 456932 485660 571165 631358 848588 901940 1060735 1142330 1262716 1485029 1578395 2121470 2284660 2970058 3156790 4242940 5940116 6313580 7425145 14850290 29700580 56610611 113221222 226442444 283053055 396274277 566106110 735937943 792548554 1132212220 1471875886 1585097108 1981371385 2943751772 3679689715 3962742770 5151565601 7359379430 7925485540 10303131202 14718758860 20606262404 25757828005 51515656010 103031312020