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20220102000 = 2432537383419
BaseRepresentation
bin10010110101001101…
…100100010101110000
31221012011200121102200
4102311031210111300
5312402321231000
613142230543200
71314034013460
oct226515442560
957164617380
1020220102000
1186367a19aa
123b03807b00
131ba317c8c7
14d9b61bba0
157d5246500
hex4b5364570

20220102000 has 480 divisors, whose sum is σ = 81114808320. Its totient is φ = 4598668800.

The previous prime is 20220101983. The next prime is 20220102011. The reversal of 20220102000 is 20102202.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

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, 48257791 + ... + 48258209.

It is an arithmetic number, because the mean of its divisors is an integer number (168989184).

Almost surely, 220220102000 is an apocalyptic number.

20220102000 is a gapful number since it is divisible by the number (20) 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 20220102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40557404160).

20220102000 is an abundant number, since it is smaller than the sum of its proper divisors (60894706320).

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

20220102000 is a wasteful number, since it uses less digits than its factorization.

20220102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 20220102000 its reverse (20102202), we get a palindrome (20240204202).

The spelling of 20220102000 in words is "twenty billion, two hundred twenty million, one hundred two thousand".