Search a number
-
+
230301230221320 = 23351919176918511
BaseRepresentation
bin110100010111010100101111…
…000001001100100000001000
31010012102120201201010120012020
4310113110233001030200020
5220141223404414040240
62133450531413444440
766336500114444436
oct6427245701144010
91105376651116166
10230301230221320
1167421226579135
12219b5b08040720
139b6740b372b2b
1440c28d366bd56
151b959e45320d0
hexd1752f04c808

230301230221320 has 32 divisors (see below), whose sum is σ = 690903690664320. Its totient is φ = 61413661392320.

The previous prime is 230301230221171. The next prime is 230301230221327. The reversal of 230301230221320 is 23122032103032.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (230301230221327) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 959588459136 + ... + 959588459375.

It is an arithmetic number, because the mean of its divisors is an integer number (21590740333260).

Almost surely, 2230301230221320 is an apocalyptic number.

230301230221320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230301230221320 is an abundant number, since it is smaller than the sum of its proper divisors (460602460443000).

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

230301230221320 is a wasteful number, since it uses less digits than its factorization.

230301230221320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919176918525 (or 1919176918521 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 230301230221320 its reverse (23122032103032), we get a palindrome (253423262324352).

The spelling of 230301230221320 in words is "two hundred thirty trillion, three hundred one billion, two hundred thirty million, two hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1919176918511 3838353837022 5757530755533 7676707674044 9595884592555 11515061511066 15353415348088 19191769185110 23030123022132 28787653777665 38383538370220 46060246044264 57575307555330 76767076740440 115150615110660 230301230221320