Search a number
-
+
313022323020 = 2235111091434717
BaseRepresentation
bin1001000111000011001…
…01011001100101001100
31002220222001201120122010
410203201211121211030
520112032203314040
6355444522421220
731420661562561
oct4434145314514
91086861646563
10313022323020
1111082aa39330
12507ba661810
1323696a181a4
141121683c868
158220a6ee80
hex48e195994c

313022323020 has 96 divisors (see below), whose sum is σ = 957019504896. Its totient is φ = 75814470400.

The previous prime is 313022322983. The next prime is 313022323063. The reversal of 313022323020 is 20323220313.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 502702 + ... + 937418.

It is an arithmetic number, because the mean of its divisors is an integer number (9968953176).

Almost surely, 2313022323020 is an apocalyptic number.

313022323020 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 313022323020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478509752448).

313022323020 is an abundant number, since it is smaller than the sum of its proper divisors (643997181876).

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

313022323020 is a wasteful number, since it uses less digits than its factorization.

313022323020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435831 (or 435829 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 313022323020 its reverse (20323220313), we get a palindrome (333345543333).

The spelling of 313022323020 in words is "three hundred thirteen billion, twenty-two million, three hundred twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1091 2182 3273 4364 5455 6546 10910 12001 13092 16365 21820 24002 32730 36003 48004 60005 65460 72006 120010 144012 180015 240020 360030 434717 720060 869434 1304151 1738868 2173585 2608302 4347170 4781887 5216604 6520755 8694340 9563774 13041510 14345661 19127548 23909435 26083020 28691322 47818870 57382644 71728305 95637740 143456610 286913220 474276247 948552494 1422828741 1897104988 2371381235 2845657482 4742762470 5217038717 5691314964 7114143705 9485524940 10434077434 14228287410 15651116151 20868154868 26085193585 28456574820 31302232302 52170387170 62604464604 78255580755 104340774340 156511161510 313022323020