Search a number
-
+
321130020 = 223519436551
BaseRepresentation
bin10011001001000…
…000111000100100
3211101021002120110
4103021000320210
51124202130040
651510533020
710646363061
oct2311007044
9741232513
10321130020
111552a6812
128b667170
13516b8683
1430913c68
151d2d4980
hex13240e24

321130020 has 96 divisors (see below), whose sum is σ = 968647680. Its totient is φ = 79228800.

The previous prime is 321129997. The next prime is 321130027. The reversal of 321130020 is 20031123.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 321129978 and 321130005.

It is not an unprimeable number, because it can be changed into a prime (321130027) 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, 45745 + ... + 52295.

It is an arithmetic number, because the mean of its divisors is an integer number (10090080).

Almost surely, 2321130020 is an apocalyptic number.

321130020 is a gapful number since it is divisible by the number (30) 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 321130020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484323840).

321130020 is an abundant number, since it is smaller than the sum of its proper divisors (647517660).

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

321130020 is a wasteful number, since it uses less digits than its factorization.

321130020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6625 (or 6623 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 321130020 is about 17920.1010041796. The cubic root of 321130020 is about 684.7945607308.

Adding to 321130020 its reverse (20031123), we get a palindrome (341161143).

The spelling of 321130020 in words is "three hundred twenty-one million, one hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 43 57 60 76 86 95 114 129 172 190 215 228 258 285 380 430 516 570 645 817 860 1140 1290 1634 2451 2580 3268 4085 4902 6551 8170 9804 12255 13102 16340 19653 24510 26204 32755 39306 49020 65510 78612 98265 124469 131020 196530 248938 281693 373407 393060 497876 563386 622345 746814 845079 1126772 1244690 1408465 1493628 1690158 1867035 2489380 2816930 3380316 3734070 4225395 5352167 5633860 7468140 8450790 10704334 16056501 16901580 21408668 26760835 32113002 53521670 64226004 80282505 107043340 160565010 321130020