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102124332320 = 2551095855753
BaseRepresentation
bin101111100011100010…
…1011010010100100000
3100202121012221121100112
41133013011122110200
53133122312113240
6114525410510452
710243510334123
oct1370705322440
9322535847315
10102124332320
113a34658344a
1217961295428
13982696990a
144d2b2423ba
1529ca9ab665
hex17c715a520

102124332320 has 48 divisors (see below), whose sum is σ = 243482251320. Its totient is φ = 40474957824.

The previous prime is 102124332319. The next prime is 102124332337. The reversal of 102124332320 is 23233421201.

It can be written as a sum of positive squares in 4 ways, for example, as 98166915856 + 3957416464 = 313316^2 + 62908^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2910437 + ... + 2945316.

Almost surely, 2102124332320 is an apocalyptic number.

102124332320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102124332320 is an abundant number, since it is smaller than the sum of its proper divisors (141357919000).

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

102124332320 is a wasteful number, since it uses less digits than its factorization.

102124332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5855877 (or 5855869 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 102124332320 its reverse (23233421201), we get a palindrome (125357753521).

The spelling of 102124332320 in words is "one hundred two billion, one hundred twenty-four million, three hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 109 160 218 436 545 872 1090 1744 2180 3488 4360 8720 17440 5855753 11711506 23423012 29278765 46846024 58557530 93692048 117115060 187384096 234230120 468460240 638277077 936920480 1276554154 2553108308 3191385385 5106216616 6382770770 10212433232 12765541540 20424866464 25531083080 51062166160 102124332320