Search a number
-
+
13120313220 = 22325737281431
BaseRepresentation
bin11000011100000100…
…00001011110000100
31020212101011222011200
430032002001132010
5203332300010340
610005525502500
7643063552020
oct141602013604
936771158150
1013120313220
115623090573
122661b71a30
1313112a8361
148c6727380
1551bcba330
hex30e081784

13120313220 has 144 divisors (see below), whose sum is σ = 46713209088. Its totient is φ = 2917866240.

The previous prime is 13120313147. The next prime is 13120313263. The reversal of 13120313220 is 2231302131.

13120313220 is a `hidden beast` number, since 1 + 312 + 0 + 31 + 322 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13120313193 and 13120313202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94096 + ... + 187335.

Almost surely, 213120313220 is an apocalyptic number.

13120313220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13120313220 is an abundant number, since it is smaller than the sum of its proper divisors (33592895868).

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

13120313220 is a wasteful number, since it uses less digits than its factorization.

13120313220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281490 (or 281485 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13120313220 its reverse (2231302131), we get a palindrome (15351615351).

The spelling of 13120313220 in words is "thirteen billion, one hundred twenty million, three hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 37 42 45 60 63 70 74 84 90 105 111 126 140 148 180 185 210 222 252 259 315 333 370 420 444 518 555 630 666 740 777 1036 1110 1260 1295 1332 1554 1665 2220 2331 2590 3108 3330 3885 4662 5180 6660 7770 9324 11655 15540 23310 46620 281431 562862 844293 1125724 1407155 1688586 1970017 2532879 2814310 3377172 3940034 4221465 5065758 5628620 5910051 7880068 8442930 9850085 10131516 10412947 11820102 12664395 16885860 17730153 19700170 20825894 23640204 25328790 29550255 31238841 35460306 39400340 41651788 50657580 52064735 59100510 62477682 70920612 72890629 88650765 93716523 104129470 118201020 124955364 145781258 156194205 177301530 187433046 208258940 218671887 291562516 312388410 354603060 364453145 374866092 437343774 468582615 624776820 656015661 728906290 874687548 937165230 1093359435 1312031322 1457812580 1874330460 2186718870 2624062644 3280078305 4373437740 6560156610 13120313220