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4100123021 is a prime number
BaseRepresentation
bin1111010001100010…
…1110100110001101
3101120202002211102012
43310120232212031
531344112414041
61514503511005
7203414320301
oct36430564615
911522084365
104100123021
11181445a125
12965158465
135045a91c7
142ac777d01
1518ee513eb
hexf462e98d

4100123021 has 2 divisors, whose sum is σ = 4100123022. Its totient is φ = 4100123020.

The previous prime is 4100123011. The next prime is 4100123029. The reversal of 4100123021 is 1203210014.

4100123021 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2622873796 + 1477249225 = 51214^2 + 38435^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4100123021 is a prime.

It is a super-2 number, since 2×41001230212 = 33622017574668332882, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4100122987 and 4100123005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4100123029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2050061510 + 2050061511.

It is an arithmetic number, because the mean of its divisors is an integer number (2050061511).

Almost surely, 24100123021 is an apocalyptic number.

It is an amenable number.

4100123021 is a deficient number, since it is larger than the sum of its proper divisors (1).

4100123021 is an equidigital number, since it uses as much as digits as its factorization.

4100123021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 4100123021 is about 64032.2029997407. The cubic root of 4100123021 is about 1600.5366716623.

Adding to 4100123021 its reverse (1203210014), we get a palindrome (5303333035).

The spelling of 4100123021 in words is "four billion, one hundred million, one hundred twenty-three thousand, twenty-one".