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40221322121 is a prime number
BaseRepresentation
bin100101011101011000…
…001010101110001001
310211211002111212101002
4211131120022232021
51124333124301441
630251042304345
72622502411541
oct453530125611
9124732455332
1040221322121
111606a984692
1279660580b5
133a3cb939b6
141d37b40321
1510a6153b9b
hex95d60ab89

40221322121 has 2 divisors, whose sum is σ = 40221322122. Its totient is φ = 40221322120.

The previous prime is 40221322111. The next prime is 40221322139. The reversal of 40221322121 is 12122312204.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 25812920896 + 14408401225 = 160664^2 + 120035^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-40221322121 is a prime.

It is a super-2 number, since 2×402213221212 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40221322093 and 40221322102.

It is not a weakly prime, because it can be changed into another prime (40221322111) 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, 20110661060 + 20110661061.

It is an arithmetic number, because the mean of its divisors is an integer number (20110661061).

Almost surely, 240221322121 is an apocalyptic number.

It is an amenable number.

40221322121 is a deficient number, since it is larger than the sum of its proper divisors (1).

40221322121 is an equidigital number, since it uses as much as digits as its factorization.

40221322121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 40221322121 its reverse (12122312204), we get a palindrome (52343634325).

The spelling of 40221322121 in words is "forty billion, two hundred twenty-one million, three hundred twenty-two thousand, one hundred twenty-one".