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13102005024 = 253245493073
BaseRepresentation
bin11000011001111000…
…01011101100100000
31020211002201211001100
430030330023230200
5203313103130044
610004033234400
7642452130243
oct141474135440
936732654040
1013102005024
115613816329
122657a02a00
13130a567cc4
148c411d25a
1551a3a0869
hex30cf0bb20

13102005024 has 36 divisors (see below), whose sum is σ = 37258827606. Its totient is φ = 4367334912.

The previous prime is 13102004999. The next prime is 13102005067. The reversal of 13102005024 is 42050020131.

It can be written as a sum of positive squares in only one way, i.e., 10514451600 + 2587553424 = 102540^2 + 50868^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 13102004988 and 13102005006.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22746249 + ... + 22746824.

Almost surely, 213102005024 is an apocalyptic number.

It is an amenable number.

13102005024 is an abundant number, since it is smaller than the sum of its proper divisors (24156822582).

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

13102005024 is a wasteful number, since it uses less digits than its factorization.

13102005024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45493089 (or 45493078 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 13102005024 its reverse (42050020131), we get a palindrome (55152025155).

The spelling of 13102005024 in words is "thirteen billion, one hundred two million, five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 45493073 90986146 136479219 181972292 272958438 363944584 409437657 545916876 727889168 818875314 1091833752 1455778336 1637750628 2183667504 3275501256 4367335008 6551002512 13102005024