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13030132324 = 22112173973989
BaseRepresentation
bin11000010001010100…
…00000101001100100
31020122002111022020111
430020222000221210
5203141203213244
65552544542404
7640620203656
oct141052005144
936562438214
1013030132324
115587196300
122637921a04
1312c86c1c91
148b87706d6
15513e04e34
hex308a80a64

13030132324 has 72 divisors (see below), whose sum is σ = 26612039160. Its totient is φ = 5558952960.

The previous prime is 13030132321. The next prime is 13030132333. The reversal of 13030132324 is 42323103031.

It can be written as a sum of positive squares in 4 ways, for example, as 4312548900 + 8717583424 = 65670^2 + 93368^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 13030132295 and 13030132304.

It is not an unprimeable number, because it can be changed into a prime (13030132321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3264522 + ... + 3268510.

It is an arithmetic number, because the mean of its divisors is an integer number (369611655).

Almost surely, 213030132324 is an apocalyptic number.

It is an amenable number.

13030132324 is an abundant number, since it is smaller than the sum of its proper divisors (13581906836).

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

13030132324 is a wasteful number, since it uses less digits than its factorization.

13030132324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4429 (or 4416 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 13030132324 its reverse (42323103031), we get a palindrome (55353235355).

The spelling of 13030132324 in words is "thirteen billion, thirty million, one hundred thirty-two thousand, three hundred twenty-four".

Divisors: 1 2 4 11 17 22 34 44 68 121 187 242 374 397 484 748 794 1588 2057 3989 4114 4367 6749 7978 8228 8734 13498 15956 17468 26996 43879 48037 67813 74239 87758 96074 135626 148478 175516 192148 271252 296956 482669 745943 816629 965338 1491886 1583633 1633258 1930676 2983772 3167266 3266516 6334532 8205373 16410746 17419963 26921761 32821492 34839926 53843522 69679852 107687044 191619593 296139371 383239186 592278742 766478372 1184557484 3257533081 6515066162 13030132324