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122121808031 is a prime number
BaseRepresentation
bin111000110111100000…
…1101110100010011111
3102200012212201121221002
41301233001232202133
54000101140324111
6132034010100515
711552202145436
oct1615701564237
9380185647832
10122121808031
1147878638983
121b80241a73b
13b69296c592
145ca706c11d
15329b3c963b
hex1c6f06e89f

122121808031 has 2 divisors, whose sum is σ = 122121808032. Its totient is φ = 122121808030.

The previous prime is 122121808019. The next prime is 122121808079. The reversal of 122121808031 is 130808121221.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 122121808031 - 226 = 122054699167 is a prime.

It is a super-2 number, since 2×1221218080312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122121807985 and 122121808003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122121808231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61060904015 + 61060904016.

It is an arithmetic number, because the mean of its divisors is an integer number (61060904016).

Almost surely, 2122121808031 is an apocalyptic number.

122121808031 is a deficient number, since it is larger than the sum of its proper divisors (1).

122121808031 is an equidigital number, since it uses as much as digits as its factorization.

122121808031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 29.

Adding to 122121808031 its reverse (130808121221), we get a palindrome (252929929252).

The spelling of 122121808031 in words is "one hundred twenty-two billion, one hundred twenty-one million, eight hundred eight thousand, thirty-one".