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20121135901 is a prime number
BaseRepresentation
bin10010101111010100…
…000010101100011101
31220221021110121110121
4102233110002230131
5312202002322101
613124333434541
71311422555536
oct225724025435
956837417417
1020121135901
118595947239
123a9663ba51
131b8880b899
14d8c41968d
157cb6e80a1
hex4af502b1d

20121135901 has 2 divisors, whose sum is σ = 20121135902. Its totient is φ = 20121135900.

The previous prime is 20121135889. The next prime is 20121135911. The reversal of 20121135901 is 10953112102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13962967225 + 6158168676 = 118165^2 + 78474^2 .

It is a cyclic number.

It is not a de Polignac number, because 20121135901 - 27 = 20121135773 is a prime.

It is a super-2 number, since 2×201211359012 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20121135911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10060567950 + 10060567951.

It is an arithmetic number, because the mean of its divisors is an integer number (10060567951).

Almost surely, 220121135901 is an apocalyptic number.

It is an amenable number.

20121135901 is a deficient number, since it is larger than the sum of its proper divisors (1).

20121135901 is an equidigital number, since it uses as much as digits as its factorization.

20121135901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 540, while the sum is 25.

The spelling of 20121135901 in words is "twenty billion, one hundred twenty-one million, one hundred thirty-five thousand, nine hundred one".