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102323342400 = 26352101211063
BaseRepresentation
bin101111101001011110…
…0100100110001000000
3100210010002102100212020
41133102330210301000
53134024233424100
6115001240201440
710251445026336
oct1372274446100
9323102370766
10102323342400
113a43894a694
12179b7a69280
139858c68466
144d49847b56
1529dd1bc5a0
hex17d2f24c40

102323342400 has 168 divisors, whose sum is σ = 339031258944. Its totient is φ = 27015936000.

The previous prime is 102323342399. The next prime is 102323342437. The reversal of 102323342400 is 4243323201.

102323342400 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 379269 + ... + 590331.

It is an arithmetic number, because the mean of its divisors is an integer number (2018043208).

Almost surely, 2102323342400 is an apocalyptic number.

102323342400 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 102323342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169515629472).

102323342400 is an abundant number, since it is smaller than the sum of its proper divisors (236707916544).

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

102323342400 is a wasteful number, since it uses less digits than its factorization.

102323342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211189 (or 211174 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 102323342400 its reverse (4243323201), we get a palindrome (106566665601).

The spelling of 102323342400 in words is "one hundred two billion, three hundred twenty-three million, three hundred forty-two thousand, four hundred".