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10123009661 is a prime number
BaseRepresentation
bin10010110110110000…
…01101111001111101
3222010111020011122202
421123120031321331
5131212442302121
64352255121245
7505600106462
oct113330157175
928114204582
1010123009661
1143251a1a96
121b66213225
13c5432925b
146c0623669
153e3aaa40b
hex25b60de7d

10123009661 has 2 divisors, whose sum is σ = 10123009662. Its totient is φ = 10123009660.

The previous prime is 10123009627. The next prime is 10123009667. The reversal of 10123009661 is 16690032101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6562620100 + 3560389561 = 81010^2 + 59669^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10123009661 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10123009667) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061504830 + 5061504831.

It is an arithmetic number, because the mean of its divisors is an integer number (5061504831).

Almost surely, 210123009661 is an apocalyptic number.

It is an amenable number.

10123009661 is a deficient number, since it is larger than the sum of its proper divisors (1).

10123009661 is an equidigital number, since it uses as much as digits as its factorization.

10123009661 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 29.

The spelling of 10123009661 in words is "ten billion, one hundred twenty-three million, nine thousand, six hundred sixty-one".