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1313012220 = 2235133734513
BaseRepresentation
bin100111001000010…
…1111100111111100
310101111122221011020
41032100233213330
510142112342340
6334142224140
744352263652
oct11620574774
93344587136
101313012220
11614185573
12307885050
1317c042910
14c654add2
157a4109d0
hex4e42f9fc

1313012220 has 96 divisors (see below), whose sum is σ = 3970731072. Its totient is φ = 322265088.

The previous prime is 1313012189. The next prime is 1313012231. The reversal of 1313012220 is 222103131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1313012220.

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, 288684 + ... + 293196.

It is an arithmetic number, because the mean of its divisors is an integer number (41361782).

Almost surely, 21313012220 is an apocalyptic number.

1313012220 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 1313012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985365536).

1313012220 is an abundant number, since it is smaller than the sum of its proper divisors (2657718852).

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

1313012220 is a wasteful number, since it uses less digits than its factorization.

1313012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4911 (or 4909 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1313012220 is about 36235.5104835022. The cubic root of 1313012220 is about 1095.0221967519.

Adding to 1313012220 its reverse (222103131), we get a palindrome (1535115351).

The spelling of 1313012220 in words is "one billion, three hundred thirteen million, twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 373 390 746 780 1119 1492 1865 2238 3730 4476 4513 4849 5595 7460 9026 9698 11190 13539 14547 18052 19396 22380 22565 24245 27078 29094 45130 48490 54156 58188 58669 67695 72735 90260 96980 117338 135390 145470 176007 234676 270780 290940 293345 352014 586690 704028 880035 1173380 1683349 1760070 3366698 3520140 5050047 6733396 8416745 10100094 16833490 20200188 21883537 25250235 33666980 43767074 50500470 65650611 87534148 101000940 109417685 131301222 218835370 262602444 328253055 437670740 656506110 1313012220