Search a number
-
+
42102300253 = 132298590553
BaseRepresentation
bin100111001101011111…
…100001111001011101
311000200011220110021211
4213031133201321131
51142211142102003
631201434224421
73020222435026
oct471537417135
9130604813254
1042102300253
1116945718372
1281abb85111
133c7c797400
142075895c4d
15116635596d
hex9cd7e1e5d

42102300253 has 12 divisors (see below), whose sum is σ = 47162141460. Its totient is φ = 37523531136.

The previous prime is 42102300209. The next prime is 42102300269. The reversal of 42102300253 is 35200320124.

It can be written as a sum of positive squares in 6 ways, for example, as 20358438489 + 21743861764 = 142683^2 + 147458^2 .

It is not a de Polignac number, because 42102300253 - 217 = 42102169181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42102303253) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4290376 + ... + 4300177.

It is an arithmetic number, because the mean of its divisors is an integer number (3930178455).

Almost surely, 242102300253 is an apocalyptic number.

It is an amenable number.

42102300253 is a deficient number, since it is larger than the sum of its proper divisors (5059841207).

42102300253 is a wasteful number, since it uses less digits than its factorization.

42102300253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8590608 (or 8590595 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 42102300253 its reverse (35200320124), we get a palindrome (77302620377).

The spelling of 42102300253 in words is "forty-two billion, one hundred two million, three hundred thousand, two hundred fifty-three".

Divisors: 1 13 29 169 377 4901 8590553 111677189 249126037 1451803457 3238638481 42102300253