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2121233312197 is a prime number
BaseRepresentation
bin11110110111100011010…
…110111010100111000101
321111210021101201012202001
4132313203112322213011
5234223241211442242
64302251531345301
7306153065440606
oct36674326724705
97453241635661
102121233312197
117486789a468a
122a31388b2231
1312505410766c
147494d917dad
153a2a139deb7
hex1ede35ba9c5

2121233312197 has 2 divisors, whose sum is σ = 2121233312198. Its totient is φ = 2121233312196.

The previous prime is 2121233312053. The next prime is 2121233312213. The reversal of 2121233312197 is 7912133321212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2009890302436 + 111343009761 = 1417706^2 + 333681^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121233312197 - 211 = 2121233310149 is a prime.

It is a super-3 number, since 3×21212333121973 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2121233313197) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060616656098 + 1060616656099.

It is an arithmetic number, because the mean of its divisors is an integer number (1060616656099).

Almost surely, 22121233312197 is an apocalyptic number.

It is an amenable number.

2121233312197 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121233312197 is an equidigital number, since it uses as much as digits as its factorization.

2121233312197 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 27216, while the sum is 37.

The spelling of 2121233312197 in words is "two trillion, one hundred twenty-one billion, two hundred thirty-three million, three hundred twelve thousand, one hundred ninety-seven".