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130304202320 = 24518129330713
BaseRepresentation
bin111100101011010111…
…1000101011001010000
3110110100010100022202102
41321112233011121100
54113330333433240
6135505543135532
712262026305405
oct1712657053120
9413303308672
10130304202320
1150297363906
12213067445a8
13c397c142c6
146441a542ac
1535c9902815
hex1e56bc5650

130304202320 has 80 divisors (see below), whose sum is σ = 305680716432. Its totient is φ = 51655127040.

The previous prime is 130304202319. The next prime is 130304202331. The reversal of 130304202320 is 23202403031.

It can be written as a sum of positive squares in 8 ways, for example, as 1216335376 + 129087866944 = 34876^2 + 359288^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 130304202292 and 130304202301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4227284 + ... + 4257996.

Almost surely, 2130304202320 is an apocalyptic number.

130304202320 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 130304202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152840358216).

130304202320 is an abundant number, since it is smaller than the sum of its proper divisors (175376514112).

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

130304202320 is a wasteful number, since it uses less digits than its factorization.

130304202320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31200 (or 31194 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 130304202320 its reverse (23202403031), we get a palindrome (153506605351).

The spelling of 130304202320 in words is "one hundred thirty billion, three hundred four million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 181 293 362 586 724 905 1172 1448 1465 1810 2344 2896 2930 3620 4688 5860 7240 11720 14480 23440 30713 53033 61426 106066 122852 153565 212132 245704 265165 307130 424264 491408 530330 614260 848528 1060660 1228520 2121320 2457040 4242640 5559053 8998909 11118106 17997818 22236212 27795265 35995636 44472424 44994545 55590530 71991272 88944848 89989090 111181060 143982544 179978180 222362120 359956360 444724240 719912720 1628802529 3257605058 6515210116 8144012645 13030420232 16288025290 26060840464 32576050580 65152101160 130304202320