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121113001829 is a prime number
BaseRepresentation
bin111000011001011100…
…1011011111101100101
3102120121120110221222102
41300302321123331211
53441014412024304
6131345531541445
711515202346461
oct1606271337545
9376546427872
10121113001829
114740014a946
121b5805ba885
13b56196b031
145c0d0ab4a1
15323ca58d1e
hex1c32e5bf65

121113001829 has 2 divisors, whose sum is σ = 121113001830. Its totient is φ = 121113001828.

The previous prime is 121113001753. The next prime is 121113001843. The reversal of 121113001829 is 928100311121.

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., 73874152804 + 47238849025 = 271798^2 + 217345^2 .

It is a cyclic number.

It is not a de Polignac number, because 121113001829 - 216 = 121112936293 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (121113001729) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60556500914 + 60556500915.

It is an arithmetic number, because the mean of its divisors is an integer number (60556500915).

Almost surely, 2121113001829 is an apocalyptic number.

It is an amenable number.

121113001829 is a deficient number, since it is larger than the sum of its proper divisors (1).

121113001829 is an equidigital number, since it uses as much as digits as its factorization.

121113001829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 29.

The spelling of 121113001829 in words is "one hundred twenty-one billion, one hundred thirteen million, one thousand, eight hundred twenty-nine".