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20221000201153 is a prime number
BaseRepresentation
bin1001001100100000100011…
…00010001011001111000001
32122121002221021022221110001
410212100101202023033001
510122300102022414103
6111001222123240001
74154630143522063
oct446202142131701
978532837287401
1020221000201153
1164967504a9184
122326b70079001
13b38aa828842b
144dc9b73c5733
15250edbc9701d
hex12641188b3c1

20221000201153 has 2 divisors, whose sum is σ = 20221000201154. Its totient is φ = 20221000201152.

The previous prime is 20221000201111. The next prime is 20221000201159. The reversal of 20221000201153 is 35110200012202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14733867294784 + 5487132906369 = 3838472^2 + 2342463^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20221000201153 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20221000201153.

It is not a weakly prime, because it can be changed into another prime (20221000201159) by changing a digit.

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 as a sum of consecutive naturals, namely, 10110500100576 + 10110500100577.

It is an arithmetic number, because the mean of its divisors is an integer number (10110500100577).

Almost surely, 220221000201153 is an apocalyptic number.

It is an amenable number.

20221000201153 is a deficient number, since it is larger than the sum of its proper divisors (1).

20221000201153 is an equidigital number, since it uses as much as digits as its factorization.

20221000201153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 20221000201153 its reverse (35110200012202), we get a palindrome (55331200213355).

The spelling of 20221000201153 in words is "twenty trillion, two hundred twenty-one billion, two hundred one thousand, one hundred fifty-three".