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121000012013 is a prime number
BaseRepresentation
bin111000010110000101…
…0011010100011101101
3102120022200212111002102
41300230022122203231
53440302000341023
6131330414104445
711512331063216
oct1605412324355
9376280774072
10121000012013
1147352396a31
121b54a7ab125
13b544429b5a
145bdc09840d
153232b8a628
hex1c2c29a8ed

121000012013 has 2 divisors, whose sum is σ = 121000012014. Its totient is φ = 121000012012.

The previous prime is 121000011973. The next prime is 121000012051. The reversal of 121000012013 is 310210000121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 117839098729 + 3160913284 = 343277^2 + 56222^2 .

It is a cyclic number.

It is not a de Polignac number, because 121000012013 - 26 = 121000011949 is a prime.

It is a super-2 number, since 2×1210000120132 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121000011985 and 121000012003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (121000012213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60500006006 + 60500006007.

It is an arithmetic number, because the mean of its divisors is an integer number (60500006007).

Almost surely, 2121000012013 is an apocalyptic number.

It is an amenable number.

121000012013 is a deficient number, since it is larger than the sum of its proper divisors (1).

121000012013 is an equidigital number, since it uses as much as digits as its factorization.

121000012013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 121000012013 its reverse (310210000121), we get a palindrome (431210012134).

The spelling of 121000012013 in words is "one hundred twenty-one billion, twelve thousand, thirteen".