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103102315424 = 2529111101633
BaseRepresentation
bin110000000000101100…
…0000111101110100000
3100212010101012021221222
41200001120013232200
53142123143043144
6115210424234212
710306654135613
oct1400130075640
9325111167858
10103102315424
113a7a8629649
1217b9490b968
139951468644
144dc109c17a
152a3678e2ee
hex1801607ba0

103102315424 has 24 divisors (see below), whose sum is σ = 209982088260. Its totient is φ = 49773531136.

The previous prime is 103102315391. The next prime is 103102315451. The reversal of 103102315424 is 424513201301.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 102797184400 + 305131024 = 320620^2 + 17468^2 .

It is a junction number, because it is equal to n+sod(n) for n = 103102315393 and 103102315402.

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 3 ways as a sum of consecutive naturals, for example, 55549889 + ... + 55551744.

Almost surely, 2103102315424 is an apocalyptic number.

It is an amenable number.

103102315424 is an abundant number, since it is smaller than the sum of its proper divisors (106879772836).

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

103102315424 is a wasteful number, since it uses less digits than its factorization.

103102315424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111101672 (or 111101664 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 103102315424 its reverse (424513201301), we get a palindrome (527615516725).

The spelling of 103102315424 in words is "one hundred three billion, one hundred two million, three hundred fifteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 111101633 222203266 444406532 888813064 1777626128 3221947357 3555252256 6443894714 12887789428 25775578856 51551157712 103102315424