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10123078333 is a prime number
BaseRepresentation
bin10010110110110000…
…11110101010111101
3222010111100122212011
421123120132222331
5131213002001313
64352300411221
7505600513624
oct113330365275
928114318764
1010123078333
114325239645
121b66246b11
13c543515a4
146c06406bb
153e3ac093d
hex25b61eabd

10123078333 has 2 divisors, whose sum is σ = 10123078334. Its totient is φ = 10123078332.

The previous prime is 10123078331. The next prime is 10123078351. The reversal of 10123078333 is 33387032101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6848721049 + 3274357284 = 82757^2 + 57222^2 .

It is a cyclic number.

It is not a de Polignac number, because 10123078333 - 21 = 10123078331 is a prime.

Together with 10123078331, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 10123078295 and 10123078304.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10123078331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061539166 + 5061539167.

It is an arithmetic number, because the mean of its divisors is an integer number (5061539167).

Almost surely, 210123078333 is an apocalyptic number.

It is an amenable number.

10123078333 is a deficient number, since it is larger than the sum of its proper divisors (1).

10123078333 is an equidigital number, since it uses as much as digits as its factorization.

10123078333 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9072, while the sum is 31.

The spelling of 10123078333 in words is "ten billion, one hundred twenty-three million, seventy-eight thousand, three hundred thirty-three".