Search a number
-
+
10304131123120 = 245128801639039
BaseRepresentation
bin1001010111110001111000…
…0100110100011110110000
31100111001202121121002010111
42111330132010310132300
52322310330031414440
633525352534311104
72112306655262452
oct225743604643660
940431677532114
1010304131123120
113312a5943325a
1211a50147b8494
135998a1ac8583
14278a18b982d2
1512d07a1284ea
hex95f1e1347b0

10304131123120 has 20 divisors (see below), whose sum is σ = 23957104861440. Its totient is φ = 4121652449216.

The previous prime is 10304131123103. The next prime is 10304131123159. The reversal of 10304131123120 is 2132113140301.

10304131123120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 10304131123091 and 10304131123100.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 64400819440 + ... + 64400819599.

It is an arithmetic number, because the mean of its divisors is an integer number (1197855243072).

Almost surely, 210304131123120 is an apocalyptic number.

10304131123120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10304131123120 is an abundant number, since it is smaller than the sum of its proper divisors (13652973738320).

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

10304131123120 is a wasteful number, since it uses less digits than its factorization.

10304131123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128801639052 (or 128801639046 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 10304131123120 its reverse (2132113140301), we get a palindrome (12436244263421).

The spelling of 10304131123120 in words is "ten trillion, three hundred four billion, one hundred thirty-one million, one hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 128801639039 257603278078 515206556156 644008195195 1030413112312 1288016390390 2060826224624 2576032780780 5152065561560 10304131123120