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223123201331 is a prime number
BaseRepresentation
bin1100111111001100101…
…1011101110100110011
3210022220211200000112112
43033303023131310303
512123424014420311
6250300144315535
722056125630102
oct3176313356463
9708824600475
10223123201331
1186698259648
12372ab612bab
131806aa86424
14ab290c0039
155c0d4bd28b
hex33f32ddd33

223123201331 has 2 divisors, whose sum is σ = 223123201332. Its totient is φ = 223123201330.

The previous prime is 223123201291. The next prime is 223123201363. The reversal of 223123201331 is 133102321322.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-223123201331 is a prime.

It is a super-3 number, since 3×2231232013313 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 223123201297 and 223123201306.

It is not a weakly prime, because it can be changed into another prime (223123201381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111561600665 + 111561600666.

It is an arithmetic number, because the mean of its divisors is an integer number (111561600666).

Almost surely, 2223123201331 is an apocalyptic number.

223123201331 is a deficient number, since it is larger than the sum of its proper divisors (1).

223123201331 is an equidigital number, since it uses as much as digits as its factorization.

223123201331 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 223123201331 its reverse (133102321322), we get a palindrome (356225522653).

The spelling of 223123201331 in words is "two hundred twenty-three billion, one hundred twenty-three million, two hundred one thousand, three hundred thirty-one".