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220212013001 is a prime number
BaseRepresentation
bin1100110100010110101…
…0001010011111001001
3210001101221202022220112
43031011222022133021
512101443233404001
6245055231404105
721624026140421
oct3150552123711
9701357668815
10220212013001
1185433a38782
1236818683635
13179c58c8c96
14a9305d5481
155adcb1dcbb
hex3345a8a7c9

220212013001 has 2 divisors, whose sum is σ = 220212013002. Its totient is φ = 220212013000.

The previous prime is 220212012959. The next prime is 220212013003. The reversal of 220212013001 is 100310212022.

It is a happy number.

220212013001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 116977680400 + 103234332601 = 342020^2 + 321301^2 .

It is a cyclic number.

It is not a de Polignac number, because 220212013001 - 210 = 220212011977 is a prime.

Together with 220212013003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (220212013003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110106006500 + 110106006501.

It is an arithmetic number, because the mean of its divisors is an integer number (110106006501).

Almost surely, 2220212013001 is an apocalyptic number.

It is an amenable number.

220212013001 is a deficient number, since it is larger than the sum of its proper divisors (1).

220212013001 is an equidigital number, since it uses as much as digits as its factorization.

220212013001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 220212013001 its reverse (100310212022), we get a palindrome (320522225023).

The spelling of 220212013001 in words is "two hundred twenty billion, two hundred twelve million, thirteen thousand, one".