Search a number
-
+
30013121232 = 2432449464197
BaseRepresentation
bin11011111100111010…
…111110001011010000
32212110122222112022200
4123330322332023100
5442431324334412
621442101203200
72111516215113
oct337472761320
985418875280
1030013121232
1111801696226
125997400500
132aa400a543
14164a0a257a
15ba9d6b9dc
hex6fcebe2d0

30013121232 has 60 divisors (see below), whose sum is σ = 84182307300. Its totient is φ = 9982070784.

The previous prime is 30013121219. The next prime is 30013121249. The reversal of 30013121232 is 23212131003.

30013121232 is a `hidden beast` number, since 300 + 13 + 121 + 232 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19857319056 + 10155802176 = 140916^2 + 100776^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 167443 + ... + 296754.

It is an arithmetic number, because the mean of its divisors is an integer number (1403038455).

Almost surely, 230013121232 is an apocalyptic number.

It is an amenable number.

30013121232 is an abundant number, since it is smaller than the sum of its proper divisors (54169186068).

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

30013121232 is a wasteful number, since it uses less digits than its factorization.

30013121232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464660 (or 464651 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 30013121232 its reverse (23212131003), we get a palindrome (53225252235).

The spelling of 30013121232 in words is "thirty billion, thirteen million, one hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 449 898 1347 1796 2694 3592 4041 5388 7184 8082 10776 16164 21552 32328 64656 464197 928394 1392591 1856788 2785182 3713576 4177773 5570364 7427152 8355546 11140728 16711092 22281456 33422184 66844368 208424453 416848906 625273359 833697812 1250546718 1667395624 1875820077 2501093436 3334791248 3751640154 5002186872 7503280308 10004373744 15006560616 30013121232