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20522120404230 = 23351797239192859
BaseRepresentation
bin1001010101010001011011…
…01100100101110100000110
32200122220011212010011221000
410222220231230211310012
510142213300310413410
6111351422034234130
74215450163153554
oct452505554456406
980586155104830
1020522120404230
1165a2422a59645
1223753a8725946
13b5b2c61bc6a3
1450d3c1204bd4
15258c6297cdc0
hex12aa2db25d06

20522120404230 has 256 divisors, whose sum is σ = 58787430912000. Its totient is φ = 5076195360768.

The previous prime is 20522120404171. The next prime is 20522120404231. The reversal of 20522120404230 is 3240402122502.

20522120404230 is a `hidden beast` number, since 2 + 0 + 5 + 2 + 2 + 1 + 20 + 404 + 230 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20522120404194 and 20522120404203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20522120404231) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 106313541 + ... + 106506399.

It is an arithmetic number, because the mean of its divisors is an integer number (229638402000).

Almost surely, 220522120404230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20522120404230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29393715456000).

20522120404230 is an abundant number, since it is smaller than the sum of its proper divisors (38265310507770).

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

20522120404230 is a wasteful number, since it uses less digits than its factorization.

20522120404230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193228 (or 193222 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 20522120404230 its reverse (3240402122502), we get a palindrome (23762522526732).

The spelling of 20522120404230 in words is "twenty trillion, five hundred twenty-two billion, one hundred twenty million, four hundred four thousand, two hundred thirty".