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102021320320 = 275159408313
BaseRepresentation
bin101111100000011110…
…0011100111010000000
3100202100001010001110021
41133000330130322000
53132414424222240
6114511250543224
710241116625443
oct1370074347200
9322301101407
10102021320320
113a2a3414a67
1217932897b14
13980b51017a
144d1b6a965a
1529c190e54a
hex17c0f1ce80

102021320320 has 32 divisors (see below), whose sum is σ = 243894720420. Its totient is φ = 40808527872.

The previous prime is 102021320293. The next prime is 102021320351. The reversal of 102021320320 is 23023120201.

It can be written as a sum of positive squares in 2 ways, for example, as 86817443904 + 15203876416 = 294648^2 + 123304^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 102021320294 and 102021320303.

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 3 ways as a sum of consecutive naturals, for example, 79703517 + ... + 79704796.

Almost surely, 2102021320320 is an apocalyptic number.

102021320320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102021320320 is an abundant number, since it is smaller than the sum of its proper divisors (141873400100).

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

102021320320 is an equidigital number, since it uses as much as digits as its factorization.

102021320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159408332 (or 159408320 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 102021320320 its reverse (23023120201), we get a palindrome (125044440521).

The spelling of 102021320320 in words is "one hundred two billion, twenty-one million, three hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 159408313 318816626 637633252 797041565 1275266504 1594083130 2550533008 3188166260 5101066016 6376332520 10202132032 12752665040 20404264064 25505330080 51010660160 102021320320