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102003312424 = 23132541139457
BaseRepresentation
bin101111011111111011…
…1110000011100101000
3100202021210020011021011
41132333313300130220
53132400321444144
6114505404553304
710240510564336
oct1367767603450
9322253204234
10102003312424
113a294235402
1217928852834
139807876700
144d1913cb56
1529c0053a34
hex17bfdf0728

102003312424 has 48 divisors (see below), whose sum is σ = 207484217820. Its totient is φ = 46991093760.

The previous prime is 102003312409. The next prime is 102003312443. The reversal of 102003312424 is 424213300201.

It can be written as a sum of positive squares in 6 ways, for example, as 3049027524 + 98954284900 = 55218^2 + 314570^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102003312395 and 102003312404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 661704 + ... + 801160.

Almost surely, 2102003312424 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 102003312424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103742108910).

102003312424 is an abundant number, since it is smaller than the sum of its proper divisors (105480905396).

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

102003312424 is a wasteful number, since it uses less digits than its factorization.

102003312424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140030 (or 140013 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 102003312424 its reverse (424213300201), we get a palindrome (526216612625).

The spelling of 102003312424 in words is "one hundred two billion, three million, three hundred twelve thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 26 52 104 169 338 541 676 1082 1352 2164 4328 7033 14066 28132 56264 91429 139457 182858 278914 365716 557828 731432 1115656 1812941 3625882 7251764 14503528 23568233 47136466 75446237 94272932 150892474 188545864 301784948 603569896 980801081 1961602162 3923204324 7846408648 12750414053 25500828106 51001656212 102003312424