Search a number
-
+
103123131040 = 2551135703713
BaseRepresentation
bin110000000001010011…
…1100001101010100000
3100212011211100211121201
41200002213201222200
53142144010143130
6115212450330544
710310326102546
oct1400247415240
9325154324551
10103123131040
113a809356736
1217b9b889a54
139955876087
144dc3b59d96
152a38501bca
hex18029e1aa0

103123131040 has 48 divisors (see below), whose sum is σ = 245784443688. Its totient is φ = 40884207616.

The previous prime is 103123131019. The next prime is 103123131049. The reversal of 103123131040 is 40131321301.

It can be written as a sum of positive squares in 4 ways, for example, as 61410787344 + 41712343696 = 247812^2 + 204236^2 .

It is a super-2 number, since 2×1031231310402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103123130999 and 103123131017.

It is not an unprimeable number, because it can be changed into a prime (103123131049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2833777 + ... + 2869936.

Almost surely, 2103123131040 is an apocalyptic number.

103123131040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103123131040 is an abundant number, since it is smaller than the sum of its proper divisors (142661312648).

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

103123131040 is a wasteful number, since it uses less digits than its factorization.

103123131040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5703841 (or 5703833 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 103123131040 its reverse (40131321301), we get a palindrome (143254452341).

The spelling of 103123131040 in words is "one hundred three billion, one hundred twenty-three million, one hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 113 160 226 452 565 904 1130 1808 2260 3616 4520 9040 18080 5703713 11407426 22814852 28518565 45629704 57037130 91259408 114074260 182518816 228148520 456297040 644519569 912594080 1289039138 2578078276 3222597845 5156156552 6445195690 10312313104 12890391380 20624626208 25780782760 51561565520 103123131040