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102413410432 = 272933737321
BaseRepresentation
bin101111101100001010…
…0001010000010000000
3100210100100220021222021
41133120110022002000
53134220313113212
6115014214451224
710253620424344
oct1373024120200
9323310807867
10102413410432
113a484778083
1217a22063b14
139871812358
144d577b1624
1529e605e307
hex17d850a080

102413410432 has 64 divisors (see below), whose sum is σ = 205299947160. Its totient is φ = 50888171520.

The previous prime is 102413410427. The next prime is 102413410469. The reversal of 102413410432 is 234014314201.

It can be written as a sum of positive squares in 4 ways, for example, as 80596938816 + 21816471616 = 283896^2 + 147704^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 102413410397 and 102413410406.

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 7 ways as a sum of consecutive naturals, for example, 13985332 + ... + 13992652.

Almost surely, 2102413410432 is an apocalyptic number.

It is an amenable number.

102413410432 is an abundant number, since it is smaller than the sum of its proper divisors (102886536728).

102413410432 is an equidigital number, since it uses as much as digits as its factorization.

102413410432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8001 (or 7989 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 102413410432 its reverse (234014314201), we get a palindrome (336427724633).

The spelling of 102413410432 in words is "one hundred two billion, four hundred thirteen million, four hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 293 373 586 746 1172 1492 2344 2984 4688 5968 7321 9376 11936 14642 18752 23872 29284 37504 47744 58568 109289 117136 218578 234272 437156 468544 874312 937088 1748624 2145053 2730733 3497248 4290106 5461466 6994496 8580212 10922932 13988992 17160424 21845864 34320848 43691728 68641696 87383456 137283392 174766912 274566784 349533824 800104769 1600209538 3200419076 6400838152 12801676304 25603352608 51206705216 102413410432