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2221020022181 is a prime number
BaseRepresentation
bin100000010100011111000…
…111000000010110100101
321212022211201000022002112
4200110133013000112211
5242342122111202211
64420153355050405
7316314642460412
oct40243707002645
97768751008075
102221020022181
11786a2499a844
122ba547140a05
1313159768889c
14796d84d7109
153cb91a0688b
hex2051f1c05a5

2221020022181 has 2 divisors, whose sum is σ = 2221020022182. Its totient is φ = 2221020022180.

The previous prime is 2221020022129. The next prime is 2221020022201. The reversal of 2221020022181 is 1812200201222.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1194668674081 + 1026351348100 = 1093009^2 + 1013090^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2221020022181 is a prime.

It is a super-2 number, since 2×22210200221812 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2221020022981) 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, 1110510011090 + 1110510011091.

It is an arithmetic number, because the mean of its divisors is an integer number (1110510011091).

Almost surely, 22221020022181 is an apocalyptic number.

It is an amenable number.

2221020022181 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221020022181 is an equidigital number, since it uses as much as digits as its factorization.

2221020022181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 512, while the sum is 23.

The spelling of 2221020022181 in words is "two trillion, two hundred twenty-one billion, twenty million, twenty-two thousand, one hundred eighty-one".