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2223300103121 is a prime number
BaseRepresentation
bin100000010110100111000…
…000110100101111010001
321212112201121101102010202
4200112213000310233101
5242411304311244441
64421211525104545
7316425310030616
oct40264700645721
97775647342122
102223300103121
11787994a46359
122baa82858155
1313186bb783c6
147987325c50d
153cc76c9119b
hex205a7034bd1

2223300103121 has 2 divisors, whose sum is σ = 2223300103122. Its totient is φ = 2223300103120.

The previous prime is 2223300103067. The next prime is 2223300103127. The reversal of 2223300103121 is 1213010033222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1905780250000 + 317519853121 = 1380500^2 + 563489^2 .

It is a cyclic number.

It is not a de Polignac number, because 2223300103121 - 218 = 2223299840977 is a prime.

It is a super-3 number, since 3×22233001031213 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2223300103093 and 2223300103102.

It is not a weakly prime, because it can be changed into another prime (2223300103127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1111650051560 + 1111650051561.

It is an arithmetic number, because the mean of its divisors is an integer number (1111650051561).

Almost surely, 22223300103121 is an apocalyptic number.

It is an amenable number.

2223300103121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2223300103121 is an equidigital number, since it uses as much as digits as its factorization.

2223300103121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 2223300103121 its reverse (1213010033222), we get a palindrome (3436310136343).

The spelling of 2223300103121 in words is "two trillion, two hundred twenty-three billion, three hundred million, one hundred three thousand, one hundred twenty-one".