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20220103332 = 223311213412903
BaseRepresentation
bin10010110101001101…
…100100101010100100
31221012011200200021000
4102311031210222210
5312402321301312
613142230553300
71314034020402
oct226515445244
957164620230
1020220103332
1186367a2a00
123b03808830
131ba31803b0
14d9b61c472
157d5246adc
hex4b5364aa4

20220103332 has 288 divisors, whose sum is σ = 63589236480. Its totient is φ = 5516121600.

The previous prime is 20220103313. The next prime is 20220103333. The reversal of 20220103332 is 23330102202.

It is a happy number.

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 (20220103333) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6963793 + ... + 6966695.

It is an arithmetic number, because the mean of its divisors is an integer number (220795960).

Almost surely, 220220103332 is an apocalyptic number.

20220103332 is a gapful number since it is divisible by the number (22) 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 20220103332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31794618240).

20220103332 is an abundant number, since it is smaller than the sum of its proper divisors (43369133148).

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

20220103332 is a wasteful number, since it uses less digits than its factorization.

20220103332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2992 (or 2973 counting only the distinct ones).

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

Adding to 20220103332 its reverse (23330102202), we get a palindrome (43550205534).

The spelling of 20220103332 in words is "twenty billion, two hundred twenty million, one hundred three thousand, three hundred thirty-two".