Search a number
-
+
310153211341 = 1637526136013
BaseRepresentation
bin1001000001101101001…
…00100110110111001101
31002122120002222121022121
410200312210212313031
520040143210230331
6354252111412541
731256612540521
oct4406644466715
91078502877277
10310153211341
1110a598447256
1250139824151
132332a4a087c
1411023787d81
158103c32c11
hex4836926dcd

310153211341 has 8 divisors (see below), whose sum is σ = 310410284184. Its totient is φ = 309896224320.

The previous prime is 310153211293. The next prime is 310153211387. The reversal of 310153211341 is 143112351013.

It can be written as a sum of positive squares in 4 ways, for example, as 10413386116 + 299739825225 = 102046^2 + 547485^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 310153211341 - 27 = 310153211213 is a prime.

It is a super-2 number, since 2×3101532113412 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310153211041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8594251 + ... + 8630263.

It is an arithmetic number, because the mean of its divisors is an integer number (38801285523).

Almost surely, 2310153211341 is an apocalyptic number.

It is an amenable number.

310153211341 is a deficient number, since it is larger than the sum of its proper divisors (257072843).

310153211341 is a wasteful number, since it uses less digits than its factorization.

310153211341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42911.

The product of its (nonzero) digits is 1080, while the sum is 25.

Adding to 310153211341 its reverse (143112351013), we get a palindrome (453265562354).

The spelling of 310153211341 in words is "three hundred ten billion, one hundred fifty-three million, two hundred eleven thousand, three hundred forty-one".

Divisors: 1 1637 5261 36013 8612257 58953281 189464393 310153211341