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100022202109 is a prime number
BaseRepresentation
bin101110100100111001…
…0011010111011111101
3100120011201102022211001
41131021302122323331
53114321140431414
6113541034530301
710140433455454
oct1351162327375
9316151368731
10100022202109
1139467a1a955
1217475296991
1395802b429b
144babd9db9b
152906173074
hex1749c9aefd

100022202109 has 2 divisors, whose sum is σ = 100022202110. Its totient is φ = 100022202108.

The previous prime is 100022202101. The next prime is 100022202127. The reversal of 100022202109 is 901202220001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100014062500 + 8139609 = 316250^2 + 2853^2 .

It is a cyclic number.

It is not a de Polignac number, because 100022202109 - 23 = 100022202101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100022202101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50011101054 + 50011101055.

It is an arithmetic number, because the mean of its divisors is an integer number (50011101055).

Almost surely, 2100022202109 is an apocalyptic number.

It is an amenable number.

100022202109 is a deficient number, since it is larger than the sum of its proper divisors (1).

100022202109 is an equidigital number, since it uses as much as digits as its factorization.

100022202109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

The spelling of 100022202109 in words is "one hundred billion, twenty-two million, two hundred two thousand, one hundred nine".