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211231001101 is a prime number
BaseRepresentation
bin1100010010111001011…
…0010100101000001101
3202012020001101122200011
43010232112110220031
511430100114013401
6241012125233221
721155333612311
oct3045626245015
9665201348604
10211231001101
118164543659a
1234b30a02811
1316bc4066663
14a31b923b41
155764443451
hex312e594a0d

211231001101 has 2 divisors, whose sum is σ = 211231001102. Its totient is φ = 211231001100.

The previous prime is 211231001057. The next prime is 211231001123. The reversal of 211231001101 is 101100132112.

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., 127753345476 + 83477655625 = 357426^2 + 288925^2 .

It is a cyclic number.

It is not a de Polignac number, because 211231001101 - 27 = 211231000973 is a prime.

It is a super-2 number, since 2×2112310011012 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211231001131) 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, 105615500550 + 105615500551.

It is an arithmetic number, because the mean of its divisors is an integer number (105615500551).

Almost surely, 2211231001101 is an apocalyptic number.

It is an amenable number.

211231001101 is a deficient number, since it is larger than the sum of its proper divisors (1).

211231001101 is an equidigital number, since it uses as much as digits as its factorization.

211231001101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 211231001101 its reverse (101100132112), we get a palindrome (312331133213).

The spelling of 211231001101 in words is "two hundred eleven billion, two hundred thirty-one million, one thousand, one hundred one".