Search a number
-
+
211212120100253 is a prime number
BaseRepresentation
bin110000000001100010100111…
…011001000000110110011101
31000200211200101210200022022012
4300001202213121000312131
5210140444410221202003
62025113301455001005
762326400142561326
oct6001424731006635
91020750353608265
10211212120100253
1161331614565138
121b8323a7809165
1390b12a99c734c
143a22a14bdd44d
1519641a2c638d8
hexc018a7640d9d

211212120100253 has 2 divisors, whose sum is σ = 211212120100254. Its totient is φ = 211212120100252.

The previous prime is 211212120100181. The next prime is 211212120100279. The reversal of 211212120100253 is 352001021212112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 107118297941209 + 104093822159044 = 10349797^2 + 10202638^2 .

It is a cyclic number.

It is not a de Polignac number, because 211212120100253 - 222 = 211212115905949 is a prime.

It is a super-2 number, since 2×2112121201002532 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211212120100283) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105606060050126 + 105606060050127.

It is an arithmetic number, because the mean of its divisors is an integer number (105606060050127).

Almost surely, 2211212120100253 is an apocalyptic number.

It is an amenable number.

211212120100253 is a deficient number, since it is larger than the sum of its proper divisors (1).

211212120100253 is an equidigital number, since it uses as much as digits as its factorization.

211212120100253 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 480, while the sum is 23.

Adding to 211212120100253 its reverse (352001021212112), we get a palindrome (563213141312365).

The spelling of 211212120100253 in words is "two hundred eleven trillion, two hundred twelve billion, one hundred twenty million, one hundred thousand, two hundred fifty-three".