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211212211201 is a prime number
BaseRepresentation
bin1100010010110100111…
…0101001010000000001
3202012011202001000202221
43010231032221100001
511430030311224301
6241010214411041
721155015113255
oct3045516512001
9665152030687
10211212211201
1181635872452
1234b26660a81
1316bc01b7c84
14a319232265
155762980da1
hex312d3a9401

211212211201 has 2 divisors, whose sum is σ = 211212211202. Its totient is φ = 211212211200.

The previous prime is 211212211187. The next prime is 211212211253. The reversal of 211212211201 is 102112212112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 190487729601 + 20724481600 = 436449^2 + 143960^2 .

It is a cyclic number.

It is not a de Polignac number, because 211212211201 - 215 = 211212178433 is a prime.

It is a super-2 number, since 2×2112122112012 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (211212211501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105606105600 + 105606105601.

It is an arithmetic number, because the mean of its divisors is an integer number (105606105601).

Almost surely, 2211212211201 is an apocalyptic number.

It is an amenable number.

211212211201 is a deficient number, since it is larger than the sum of its proper divisors (1).

211212211201 is an equidigital number, since it uses as much as digits as its factorization.

211212211201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211212211201 its reverse (102112212112), we get a palindrome (313324423313).

It can be divided in two parts, 21121 and 2211201, that added together give a palindrome (2232322).

The spelling of 211212211201 in words is "two hundred eleven billion, two hundred twelve million, two hundred eleven thousand, two hundred one".