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1382400121 is a prime number
BaseRepresentation
bin101001001100101…
…1100000001111001
310120100020012110111
41102121130001321
510312343300441
6345101344321
746154131024
oct12231340171
93510205414
101382400121
1164a368743
12326b680a1
1319052894b
14d18501bb
158156a081
hex5265c079

1382400121 has 2 divisors, whose sum is σ = 1382400122. Its totient is φ = 1382400120.

The previous prime is 1382400091. The next prime is 1382400137. The reversal of 1382400121 is 1210042831.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 704318521 + 678081600 = 26539^2 + 26040^2 .

It is a cyclic number.

It is not a de Polignac number, because 1382400121 - 213 = 1382391929 is a prime.

It is a super-2 number, since 2×13824001212 = 3822060189081629282, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1382400092 and 1382400101.

It is not a weakly prime, because it can be changed into another prime (1382400161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 691200060 + 691200061.

It is an arithmetic number, because the mean of its divisors is an integer number (691200061).

Almost surely, 21382400121 is an apocalyptic number.

It is an amenable number.

1382400121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1382400121 is an equidigital number, since it uses as much as digits as its factorization.

1382400121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 1382400121 is about 37180.6417507821. The cubic root of 1382400121 is about 1113.9813525689.

Adding to 1382400121 its reverse (1210042831), we get a palindrome (2592442952).

The spelling of 1382400121 in words is "one billion, three hundred eighty-two million, four hundred thousand, one hundred twenty-one".