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2148400253 is a prime number
BaseRepresentation
bin1000000000001101…
…1111110001111101
312112201121001002202
42000003133301331
513344442302003
6553103401245
7104145046406
oct20003376175
95481531082
102148400253
11a027969aa
124bb5b3225
1328313606c
141654889ad
15c8928088
hex800dfc7d

2148400253 has 2 divisors, whose sum is σ = 2148400254. Its totient is φ = 2148400252.

The previous prime is 2148400213. The next prime is 2148400259. The reversal of 2148400253 is 3520048412.

It is a happy number.

2148400253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1440733849 + 707666404 = 37957^2 + 26602^2 .

It is a cyclic number.

It is not a de Polignac number, because 2148400253 - 220 = 2147351677 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2148400259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1074200126 + 1074200127.

It is an arithmetic number, because the mean of its divisors is an integer number (1074200127).

Almost surely, 22148400253 is an apocalyptic number.

It is an amenable number.

2148400253 is a deficient number, since it is larger than the sum of its proper divisors (1).

2148400253 is an equidigital number, since it uses as much as digits as its factorization.

2148400253 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 2148400253 is about 46350.8387518500. The cubic root of 2148400253 is about 1290.3426874362.

Adding to 2148400253 its reverse (3520048412), we get a palindrome (5668448665).

The spelling of 2148400253 in words is "two billion, one hundred forty-eight million, four hundred thousand, two hundred fifty-three".