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102231020320 = 255111324183101
BaseRepresentation
bin101111100110101110…
…0011001001100100000
3100202212122200220202221
41133031130121030200
53133332120122240
6114544141320424
710246244222632
oct1371534311440
9322778626687
10102231020320
113a3a0822750
1217990b66114
139842ab2600
144d3b494a52
1529d5032a4a
hex17cd719320

102231020320 has 576 divisors, whose sum is σ = 298712147328. Its totient is φ = 32747520000.

The previous prime is 102231020303. The next prime is 102231020363. The reversal of 102231020320 is 23020132201.

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 = 102231020294 and 102231020303.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1012188270 + ... + 1012188370.

It is an arithmetic number, because the mean of its divisors is an integer number (518597478).

Almost surely, 2102231020320 is an apocalyptic number.

102231020320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102231020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149356073664).

102231020320 is an abundant number, since it is smaller than the sum of its proper divisors (196481127008).

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

102231020320 is a wasteful number, since it uses less digits than its factorization.

102231020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 256 counting only the distinct ones).

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

Adding to 102231020320 its reverse (23020132201), we get a palindrome (125251152521).

The spelling of 102231020320 in words is "one hundred two billion, two hundred thirty-one million, twenty thousand, three hundred twenty".