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102242424352 = 2517577325729
BaseRepresentation
bin101111100111000011…
…1111001011000100000
3100202220110011022011111
41133032013321120200
53133343030034402
6114545225553104
710246443160555
oct1371607713040
9322813138144
10102242424352
113a3a7201772
1217994945794
139845276263
144d3cbc2a2c
1529d60369d7
hex17ce1f9620

102242424352 has 48 divisors (see below), whose sum is σ = 213500379960. Its totient is φ = 48030547968.

The previous prime is 102242424329. The next prime is 102242424359. The reversal of 102242424352 is 253424242201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 96375477136 + 5866947216 = 310444^2 + 76596^2 .

It is not an unprimeable number, because it can be changed into a prime (102242424359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151024 + ... + 476752.

Almost surely, 2102242424352 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 102242424352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106750189980).

102242424352 is an abundant number, since it is smaller than the sum of its proper divisors (111257955608).

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

102242424352 is a wasteful number, since it uses less digits than its factorization.

102242424352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326333 (or 326325 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 31.

Adding to 102242424352 its reverse (253424242201), we get a palindrome (355666666553).

The spelling of 102242424352 in words is "one hundred two billion, two hundred forty-two million, four hundred twenty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 577 1154 2308 4616 9232 9809 18464 19618 39236 78472 156944 313888 325729 651458 1302916 2605832 5211664 5537393 10423328 11074786 22149572 44299144 88598288 177196576 187945633 375891266 751782532 1503565064 3007130128 3195075761 6014260256 6390151522 12780303044 25560606088 51121212176 102242424352