Search a number
-
+
223123201031 is a prime number
BaseRepresentation
bin1100111111001100101…
…1011101110000000111
3210022220211200000010102
43033303023131300013
512123424014413111
6250300144314315
722056125626163
oct3176313356007
9708824600112
10223123201031
11866982593a5
12372ab61299b
131806aa86253
14ab290bdca3
155c0d4bd13b
hex33f32ddc07

223123201031 has 2 divisors, whose sum is σ = 223123201032. Its totient is φ = 223123201030.

The previous prime is 223123200991. The next prime is 223123201069. The reversal of 223123201031 is 130102321322.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-223123201031 is a prime.

It is a super-3 number, since 3×2231232010313 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 223123200994 and 223123201012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223123201331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111561600515 + 111561600516.

It is an arithmetic number, because the mean of its divisors is an integer number (111561600516).

Almost surely, 2223123201031 is an apocalyptic number.

223123201031 is a deficient number, since it is larger than the sum of its proper divisors (1).

223123201031 is an equidigital number, since it uses as much as digits as its factorization.

223123201031 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 223123201031 its reverse (130102321322), we get a palindrome (353225522353).

The spelling of 223123201031 in words is "two hundred twenty-three billion, one hundred twenty-three million, two hundred one thousand, thirty-one".