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211216616201 is a prime number
BaseRepresentation
bin1100010010110101111…
…1011100101100001001
3202012012001022211022002
43010231133130230021
511430032423204301
6241010453040345
721155100420653
oct3045537345411
9665161284262
10211216616201
1181638300a48
1234b280260b5
1316bc109ac96
14a319a5b6d3
15576305116b
hex312d7dcb09

211216616201 has 2 divisors, whose sum is σ = 211216616202. Its totient is φ = 211216616200.

The previous prime is 211216616153. The next prime is 211216616239. The reversal of 211216616201 is 102616612112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 199911823225 + 11304792976 = 447115^2 + 106324^2 .

It is a cyclic number.

It is not a de Polignac number, because 211216616201 - 26 = 211216616137 is a prime.

It is a super-2 number, since 2×2112166162012 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (211216616251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105608308100 + 105608308101.

It is an arithmetic number, because the mean of its divisors is an integer number (105608308101).

Almost surely, 2211216616201 is an apocalyptic number.

It is an amenable number.

211216616201 is a deficient number, since it is larger than the sum of its proper divisors (1).

211216616201 is an equidigital number, since it uses as much as digits as its factorization.

211216616201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 29.

The spelling of 211216616201 in words is "two hundred eleven billion, two hundred sixteen million, six hundred sixteen thousand, two hundred one".