Search a number
-
+
123125452040 = 2353783192873
BaseRepresentation
bin111001010101011011…
…0010100110100001000
3102202210211021000200102
41302222312110310020
54004130103431130
6132321341424532
711616110034323
oct1625266246410
9382724230612
10123125452040
1148243120538
121ba4256b148
13b7c2884286
145d604877ba
15330957a645
hex1caad94d08

123125452040 has 32 divisors (see below), whose sum is σ = 284519629080. Its totient is φ = 47919094272.

The previous prime is 123125452019. The next prime is 123125452063. The reversal of 123125452040 is 40254521321.

It can be written as a sum of positive squares in 4 ways, for example, as 117729961924 + 5395490116 = 343118^2 + 73454^2 .

It is a junction number, because it is equal to n+sod(n) for n = 123125451994 and 123125452012.

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 7 ways as a sum of consecutive naturals, for example, 41594957 + ... + 41597916.

Almost surely, 2123125452040 is an apocalyptic number.

123125452040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123125452040 is an abundant number, since it is smaller than the sum of its proper divisors (161394177040).

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

123125452040 is a wasteful number, since it uses less digits than its factorization.

123125452040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83192921 (or 83192917 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 123125452040 its reverse (40254521321), we get a palindrome (163379973361).

The spelling of 123125452040 in words is "one hundred twenty-three billion, one hundred twenty-five million, four hundred fifty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 83192873 166385746 332771492 415964365 665542984 831928730 1663857460 3078136301 3327714920 6156272602 12312545204 15390681505 24625090408 30781363010 61562726020 123125452040