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100223303329 is a prime number
BaseRepresentation
bin101110101010111000…
…1100011111010100001
3100120200201211022211101
41131111301203322201
53120224131201304
6114013021114401
710145425010422
oct1352561437241
9316621738741
10100223303329
1139560495206
12175106b8a01
1395b2b658a6
144bca98b649
152918b488a4
hex1755c63ea1

100223303329 has 2 divisors, whose sum is σ = 100223303330. Its totient is φ = 100223303328.

The previous prime is 100223303263. The next prime is 100223303381. The reversal of 100223303329 is 923303322001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76684686400 + 23538616929 = 276920^2 + 153423^2 .

It is an emirp because it is prime and its reverse (923303322001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100223303329 - 223 = 100214914721 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100223303297 and 100223303306.

It is not a weakly prime, because it can be changed into another prime (100223301329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50111651664 + 50111651665.

It is an arithmetic number, because the mean of its divisors is an integer number (50111651665).

Almost surely, 2100223303329 is an apocalyptic number.

It is an amenable number.

100223303329 is a deficient number, since it is larger than the sum of its proper divisors (1).

100223303329 is an equidigital number, since it uses as much as digits as its factorization.

100223303329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5832, while the sum is 28.

The spelling of 100223303329 in words is "one hundred billion, two hundred twenty-three million, three hundred three thousand, three hundred twenty-nine".