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211214100029 is a prime number
BaseRepresentation
bin1100010010110101010…
…1110110011000111101
3202012011212120222202112
43010231111312120331
511430031302200104
6241010323103405
721155040141122
oct3045525663075
9665155528675
10211214100029
1181636942569
1234b27211b65
1316bc06c991a
14a3195a4749
155762c0586e
hex312d57663d

211214100029 has 2 divisors, whose sum is σ = 211214100030. Its totient is φ = 211214100028.

The previous prime is 211214100007. The next prime is 211214100061. The reversal of 211214100029 is 920001412112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 147169675129 + 64044424900 = 383627^2 + 253070^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-211214100029 is a prime.

It is a super-2 number, since 2×2112141000292 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211214099977 and 211214100013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211214150029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105607050014 + 105607050015.

It is an arithmetic number, because the mean of its divisors is an integer number (105607050015).

Almost surely, 2211214100029 is an apocalyptic number.

It is an amenable number.

211214100029 is a deficient number, since it is larger than the sum of its proper divisors (1).

211214100029 is an equidigital number, since it uses as much as digits as its factorization.

211214100029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 211214100029 in words is "two hundred eleven billion, two hundred fourteen million, one hundred thousand, twenty-nine".