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10123132421 is a prime number
BaseRepresentation
bin10010110110110001…
…01011111000000101
3222010111110102001102
421123120223320011
5131213010214141
64352301505445
7505601130413
oct113330537005
928114412042
1010123132421
114325276246
121b66272285
13c543700ac
146c06562b3
153e3ad199b
hex25b62be05

10123132421 has 2 divisors, whose sum is σ = 10123132422. Its totient is φ = 10123132420.

The previous prime is 10123132403. The next prime is 10123132427. The reversal of 10123132421 is 12423132101.

10123132421 is digitally balanced in base 2, 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., 9818629921 + 304502500 = 99089^2 + 17450^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10123132421 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10123132393 and 10123132402.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10123132427) 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, 5061566210 + 5061566211.

It is an arithmetic number, because the mean of its divisors is an integer number (5061566211).

Almost surely, 210123132421 is an apocalyptic number.

It is an amenable number.

10123132421 is a deficient number, since it is larger than the sum of its proper divisors (1).

10123132421 is an equidigital number, since it uses as much as digits as its factorization.

10123132421 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10123132421 its reverse (12423132101), we get a palindrome (22546264522).

The spelling of 10123132421 in words is "ten billion, one hundred twenty-three million, one hundred thirty-two thousand, four hundred twenty-one".