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202202112211201 is a prime number
BaseRepresentation
bin101101111110011011011001…
…000100100011100100000001
3222111221022222212021001002101
4231332123121010203210001
5203000334411211224301
61554014211252350401
760406422560262664
oct5576333104434401
9874838885231071
10202202112211201
1159478485a43923
121a81815a315401
1388a976761741b
1437d08c4cdd6db
151859b1ab6b701
hexb7e6d9123901

202202112211201 has 2 divisors, whose sum is σ = 202202112211202. Its totient is φ = 202202112211200.

The previous prime is 202202112211189. The next prime is 202202112211219. The reversal of 202202112211201 is 102112211202202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 198552025540801 + 3650086670400 = 14090849^2 + 1910520^2 .

It is a cyclic number.

It is not a de Polignac number, because 202202112211201 - 213 = 202202112203009 is a prime.

It is a super-2 number, since 2×2022021122112012 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (202202112218201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101101056105600 + 101101056105601.

It is an arithmetic number, because the mean of its divisors is an integer number (101101056105601).

Almost surely, 2202202112211201 is an apocalyptic number.

It is an amenable number.

202202112211201 is a deficient number, since it is larger than the sum of its proper divisors (1).

202202112211201 is an equidigital number, since it uses as much as digits as its factorization.

202202112211201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 202202112211201 its reverse (102112211202202), we get a palindrome (304314323413403).

The spelling of 202202112211201 in words is "two hundred two trillion, two hundred two billion, one hundred twelve million, two hundred eleven thousand, two hundred one".