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1121002122193 is a prime number
BaseRepresentation
bin10000010100000000111…
…011101110101111010001
310222011111120021010012021
4100110000323232233101
5121331303020402233
62214551541531441
7143663322551332
oct20240073565721
93864446233167
101121002122193
113a2461523278
12161311413b81
138192cc84005
143c3848d0289
151e25e6bbe2d
hex10500eeebd1

1121002122193 has 2 divisors, whose sum is σ = 1121002122194. Its totient is φ = 1121002122192.

The previous prime is 1121002122073. The next prime is 1121002122259. The reversal of 1121002122193 is 3912212001211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1090756738449 + 30245383744 = 1044393^2 + 173912^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1121002122193 is a prime.

It is a super-2 number, since 2×11210021221932 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1121002122293) 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, 560501061096 + 560501061097.

It is an arithmetic number, because the mean of its divisors is an integer number (560501061097).

Almost surely, 21121002122193 is an apocalyptic number.

It is an amenable number.

1121002122193 is a deficient number, since it is larger than the sum of its proper divisors (1).

1121002122193 is an equidigital number, since it uses as much as digits as its factorization.

1121002122193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 25.

The spelling of 1121002122193 in words is "one trillion, one hundred twenty-one billion, two million, one hundred twenty-two thousand, one hundred ninety-three".