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2121000120509 is a prime number
BaseRepresentation
bin11110110111010101011…
…101010111000010111101
321111202200010220211212212
4132313111131113002331
5234222302012324014
64302212441310205
7306144234362504
oct36672535270275
97452603824785
102121000120509
11748569301286
122a3092795365
131250179cb70a
147492a97583b
153a28ab8a23e
hex1edd57570bd

2121000120509 has 2 divisors, whose sum is σ = 2121000120510. Its totient is φ = 2121000120508.

The previous prime is 2121000120479. The next prime is 2121000120527. The reversal of 2121000120509 is 9050210001212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1333743194884 + 787256925625 = 1154878^2 + 887275^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121000120509 - 216 = 2121000054973 is a prime.

It is a super-2 number, since 2×21210001205092 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2121000120559) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060500060254 + 1060500060255.

It is an arithmetic number, because the mean of its divisors is an integer number (1060500060255).

Almost surely, 22121000120509 is an apocalyptic number.

It is an amenable number.

2121000120509 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121000120509 is an equidigital number, since it uses as much as digits as its factorization.

2121000120509 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 360, while the sum is 23.

The spelling of 2121000120509 in words is "two trillion, one hundred twenty-one billion, one hundred twenty thousand, five hundred nine".