Search a number
-
+
13231030320 = 2433513214637
BaseRepresentation
bin11000101001010000…
…11000000000110000
31021011002111222111000
430110220120000300
5204044120432240
610024522522000
7645606621264
oct142450300060
937132458430
1013231030320
11567a631a02
122693066300
13132b201c31
148d73080a4
1552688a430
hex314a18030

13231030320 has 160 divisors (see below), whose sum is σ = 45617883840. Its totient is φ = 3524843520.

The previous prime is 13231030243. The next prime is 13231030321. The reversal of 13231030320 is 2303013231.

13231030320 is a `hidden beast` number, since 1 + 3 + 2 + 310 + 30 + 320 = 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 = 13231030293 and 13231030302.

It is not an unprimeable number, because it can be changed into a prime (13231030321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2851042 + ... + 2855678.

It is an arithmetic number, because the mean of its divisors is an integer number (285111774).

Almost surely, 213231030320 is an apocalyptic number.

13231030320 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 13231030320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22808941920).

13231030320 is an abundant number, since it is smaller than the sum of its proper divisors (32386853520).

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

13231030320 is a wasteful number, since it uses less digits than its factorization.

13231030320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5980 (or 5968 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13231030320 its reverse (2303013231), we get a palindrome (15534043551).

The spelling of 13231030320 in words is "thirteen billion, two hundred thirty-one million, thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 1321 2160 2642 3963 4637 5284 6605 7926 9274 10568 11889 13210 13911 15852 18548 19815 21136 23185 23778 26420 27822 31704 35667 37096 39630 41733 46370 47556 52840 55644 59445 63408 69555 71334 74192 79260 83466 92740 95112 105680 111288 118890 125199 139110 142668 158520 166932 178335 185480 190224 208665 222576 237780 250398 278220 285336 317040 333864 356670 370960 417330 475560 500796 556440 570672 625995 667728 713340 834660 951120 1001592 1112880 1251990 1426680 1669320 2003184 2503980 2853360 3338640 5007960 6125477 10015920 12250954 18376431 24501908 30627385 36752862 49003816 55129293 61254770 73505724 91882155 98007632 110258586 122509540 147011448 165387879 183764310 220517172 245019080 275646465 294022896 330775758 367528620 441034344 490038160 551292930 661551516 735057240 826939395 882068688 1102585860 1323103032 1470114480 1653878790 2205171720 2646206064 3307757580 4410343440 6615515160 13231030320