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102220323300 = 22345222356591
BaseRepresentation
bin101111100110011001…
…1100101100111100100
3100202211220120110020000
41133030303211213210
53133321400321200
6114543120141300
710246054261164
oct1371463454744
9322756513200
10102220323300
113a395786937
1217989467830
139840808704
144d39cac5a4
1529d411d300
hex17ccce59e4

102220323300 has 180 divisors, whose sum is σ = 332849696256. Its totient is φ = 27136036800.

The previous prime is 102220323287. The next prime is 102220323301. The reversal of 102220323300 is 3323022201.

It is a happy number.

102220323300 is a `hidden beast` number, since 1 + 0 + 22 + 20 + 323 + 300 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102220323301) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1778005 + ... + 1834595.

Almost surely, 2102220323300 is an apocalyptic number.

102220323300 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 102220323300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166424848128).

102220323300 is an abundant number, since it is smaller than the sum of its proper divisors (230629372956).

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

102220323300 is a wasteful number, since it uses less digits than its factorization.

102220323300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56840 (or 56824 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 102220323300 its reverse (3323022201), we get a palindrome (105543345501).

The spelling of 102220323300 in words is "one hundred two billion, two hundred twenty million, three hundred twenty-three thousand, three hundred".