Search a number
-
+
1325201020 = 22511133114947
BaseRepresentation
bin100111011111100…
…1111011001111100
310102100121012001021
41032333033121330
510203222413040
6335255353524
744561010553
oct11677173174
93370535037
101325201020
11620050160
1230b9828a4
1318171c820
14c8000d9a
157b51c24a
hex4efcf67c

1325201020 has 96 divisors (see below), whose sum is σ = 3375138816. Its totient is φ = 430444800.

The previous prime is 1325200967. The next prime is 1325201039. The reversal of 1325201020 is 201025231.

It is a junction number, because it is equal to n+sod(n) for n = 1325200985 and 1325201003.

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, 81187 + ... + 96133.

It is an arithmetic number, because the mean of its divisors is an integer number (35157696).

Almost surely, 21325201020 is an apocalyptic number.

1325201020 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 1325201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687569408).

1325201020 is an abundant number, since it is smaller than the sum of its proper divisors (2049937796).

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

1325201020 is a wasteful number, since it uses less digits than its factorization.

1325201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15011 (or 15009 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 1325201020 is about 36403.3105637386. The cubic root of 1325201020 is about 1098.4001591668.

Adding to 1325201020 its reverse (201025231), we get a palindrome (1526226251).

The spelling of 1325201020 in words is "one billion, three hundred twenty-five million, two hundred one thousand, twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 31 44 52 55 62 65 110 124 130 143 155 220 260 286 310 341 403 572 620 682 715 806 1364 1430 1612 1705 2015 2860 3410 4030 4433 6820 8060 8866 14947 17732 22165 29894 44330 59788 74735 88660 149470 164417 194311 298940 328834 388622 463357 657668 777244 822085 926714 971555 1644170 1853428 1943110 2137421 2316785 3288340 3886220 4274842 4633570 5096927 6023641 8549684 9267140 10193854 10687105 12047282 20387708 21374210 24094564 25484635 30118205 42748420 50969270 60236410 66260051 101938540 120472820 132520102 265040204 331300255 662600510 1325201020