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211145375801 is a prime number
BaseRepresentation
bin1100010010100100111…
…1101100000000111001
3202012000002021102211202
43010221033230000321
511424411204011201
6240555430103545
721153244040003
oct3045117540071
9665002242752
10211145375801
1181601072a88
1234b081aabb5
1316bac3b69b9
14a3103d5373
15575bb7cc6b
hex31293ec039

211145375801 has 2 divisors, whose sum is σ = 211145375802. Its totient is φ = 211145375800.

The previous prime is 211145375759. The next prime is 211145375821. The reversal of 211145375801 is 108573541112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 201403488400 + 9741887401 = 448780^2 + 98701^2 .

It is a cyclic number.

It is not a de Polignac number, because 211145375801 - 234 = 193965506617 is a prime.

It is not a weakly prime, because it can be changed into another prime (211145375821) 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, 105572687900 + 105572687901.

It is an arithmetic number, because the mean of its divisors is an integer number (105572687901).

Almost surely, 2211145375801 is an apocalyptic number.

It is an amenable number.

211145375801 is a deficient number, since it is larger than the sum of its proper divisors (1).

211145375801 is an equidigital number, since it uses as much as digits as its factorization.

211145375801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 33600, while the sum is 38.

The spelling of 211145375801 in words is "two hundred eleven billion, one hundred forty-five million, three hundred seventy-five thousand, eight hundred one".