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100222031009 is a prime number
BaseRepresentation
bin101110101010110110…
…0101101010010100001
3100120200122102200112102
41131111230231102201
53120223314443014
6114012533540145
710145411131142
oct1352554552241
9316618380472
10100222031009
113955a7a6301
12175101a4655
1395b280b739
144bca739ac9
1529189968de
hex1755b2d4a1

100222031009 has 2 divisors, whose sum is σ = 100222031010. Its totient is φ = 100222031008.

The previous prime is 100222030999. The next prime is 100222031057. The reversal of 100222031009 is 900130222001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62100640000 + 38121391009 = 249200^2 + 195247^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100222031009 is a prime.

It is not a weakly prime, because it can be changed into another prime (100222031089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50111015504 + 50111015505.

It is an arithmetic number, because the mean of its divisors is an integer number (50111015505).

Almost surely, 2100222031009 is an apocalyptic number.

It is an amenable number.

100222031009 is a deficient number, since it is larger than the sum of its proper divisors (1).

100222031009 is an equidigital number, since it uses as much as digits as its factorization.

100222031009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

The spelling of 100222031009 in words is "one hundred billion, two hundred twenty-two million, thirty-one thousand, nine".