Search a number
-
+
13124403125 = 5529971493
BaseRepresentation
bin11000011100100011…
…00111111110110101
31020212122212202110122
430032101213332311
5203334321400000
610010153301325
7643143404651
oct141621477665
936778782418
1013124403125
115625424359
122663404845
1313120aab12
148c70ada61
1551c327085
hex30e467fb5

13124403125 has 48 divisors (see below), whose sum is σ = 17156558160. Its totient is φ = 10026240000.

The previous prime is 13124403079. The next prime is 13124403143. The reversal of 13124403125 is 52130442131.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 12801338449 + 323064676 = 113143^2 + 17974^2 .

It is a de Polignac number, because none of the positive numbers 2k-13124403125 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13124403094 and 13124403103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8789879 + ... + 8791371.

It is an arithmetic number, because the mean of its divisors is an integer number (357428295).

Almost surely, 213124403125 is an apocalyptic number.

It is an amenable number.

13124403125 is a deficient number, since it is larger than the sum of its proper divisors (4032155035).

13124403125 is an frugal number, since it uses more digits than its factorization.

13124403125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 13124403125 its reverse (52130442131), we get a palindrome (65254845256).

The spelling of 13124403125 in words is "thirteen billion, one hundred twenty-four million, four hundred three thousand, one hundred twenty-five".

Divisors: 1 5 25 29 97 125 145 485 625 725 1493 2425 2813 3125 3625 7465 12125 14065 18125 37325 43297 60625 70325 90625 144821 186625 216485 303125 351625 724105 933125 1082425 1758125 3620525 4199809 4665625 5412125 8790625 18102625 20999045 27060625 90513125 104995225 135303125 452565625 524976125 2624880625 13124403125