Search a number
-
+
11212453024 = 254111375629
BaseRepresentation
bin10100111000101000…
…00111010010100000
31001221102012121222221
422130110013102200
5140430341444044
65052333440424
7544566164263
oct123424072240
931842177887
1011212453024
114834156a03
12220b040114
131098c51bb6
147851b4cda
15459558484
hex29c5074a0

11212453024 has 48 divisors (see below), whose sum is σ = 22813335720. Its totient is φ = 5421015040.

The previous prime is 11212452971. The next prime is 11212453079. The reversal of 11212453024 is 42035421211.

It can be written as a sum of positive squares in 4 ways, for example, as 7475331600 + 3737121424 = 86460^2 + 61132^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11212453024.

It is an unprimeable number.

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, 110442 + ... + 186070.

Almost surely, 211212453024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11212453024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11406667860).

11212453024 is an abundant number, since it is smaller than the sum of its proper divisors (11600882696).

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

11212453024 is a wasteful number, since it uses less digits than its factorization.

11212453024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75793 (or 75785 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 11212453024 its reverse (42035421211), we get a palindrome (53247874235).

The spelling of 11212453024 in words is "eleven billion, two hundred twelve million, four hundred fifty-three thousand, twenty-four".

Divisors: 1 2 4 8 16 32 41 82 113 164 226 328 452 656 904 1312 1808 3616 4633 9266 18532 37064 74128 75629 148256 151258 302516 605032 1210064 2420128 3100789 6201578 8546077 12403156 17092154 24806312 34184308 49612624 68368616 99225248 136737232 273474464 350389157 700778314 1401556628 2803113256 5606226512 11212453024