Search a number
-
+
11252123145 = 3251495712939
BaseRepresentation
bin10100111101010110…
…11100011000001001
31002001011212002011200
422132223130120021
5141021020420040
65100312014413
7545560316514
oct123653343011
932034762150
1011252123145
11485459172a
122220391409
1310a4231543
1478a57dd7b
1545cc92630
hex29eadc609

11252123145 has 48 divisors (see below), whose sum is σ = 19675656000. Its totient is φ = 5948392320.

The previous prime is 11252123119. The next prime is 11252123147. The reversal of 11252123145 is 54132125211.

It is a happy number.

11252123145 is a `hidden beast` number, since 112 + 521 + 23 + 1 + 4 + 5 = 666.

11252123145 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11252123145 - 27 = 11252123017 is a prime.

It is a super-2 number, since 2×112521231452 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11252123147) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3827086 + ... + 3830024.

It is an arithmetic number, because the mean of its divisors is an integer number (409909500).

Almost surely, 211252123145 is an apocalyptic number.

11252123145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11252123145 is a deficient number, since it is larger than the sum of its proper divisors (8423532855).

11252123145 is a wasteful number, since it uses less digits than its factorization.

11252123145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3670 (or 3667 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

Adding to 11252123145 its reverse (54132125211), we get a palindrome (65384248356).

The spelling of 11252123145 in words is "eleven billion, two hundred fifty-two million, one hundred twenty-three thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 149 447 571 745 1341 1713 2235 2855 2939 5139 6705 8565 8817 14695 25695 26451 44085 85079 132255 255237 425395 437911 765711 1276185 1313733 1678169 2189555 3828555 3941199 5034507 6568665 8390845 15103521 19705995 25172535 75517605 250047181 750141543 1250235905 2250424629 3750707715 11252123145