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146123821 is a prime number
BaseRepresentation
bin10001011010110…
…10110000101101
3101011221212012101
420231122300231
5244401430241
622255535101
73423013654
oct1055326055
9334855171
10146123821
1175534a98
1240b2a491
13243727cc
141559a19b
15cc65e31
hex8b5ac2d

146123821 has 2 divisors, whose sum is σ = 146123822. Its totient is φ = 146123820.

The previous prime is 146123797. The next prime is 146123827. The reversal of 146123821 is 128321641.

146123821 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., 145467721 + 656100 = 12061^2 + 810^2 .

It is a cyclic number.

It is not a de Polignac number, because 146123821 - 215 = 146091053 is a prime.

It is equal to p8238430 and since 146123821 and 8238430 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 146123821.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (146123827) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 73061910 + 73061911.

It is an arithmetic number, because the mean of its divisors is an integer number (73061911).

Almost surely, 2146123821 is an apocalyptic number.

It is an amenable number.

146123821 is a deficient number, since it is larger than the sum of its proper divisors (1).

146123821 is an equidigital number, since it uses as much as digits as its factorization.

146123821 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2304, while the sum is 28.

The square root of 146123821 is about 12088.1686371427. The cubic root of 146123821 is about 526.7125584020.

The spelling of 146123821 in words is "one hundred forty-six million, one hundred twenty-three thousand, eight hundred twenty-one".