Search a number
-
+
301137112121 = 2931674999537
BaseRepresentation
bin1000110000111010010…
…10111010110000111001
31001210021202121022022212
410120131022322300321
514413212100041441
6350201313224505
730520313135126
oct4303512726071
91053252538285
10301137112121
1110679105a48a
124a442262135
13225215a4811
141080a18174d
157c77425eeb
hex461d2bac39

301137112121 has 16 divisors (see below), whose sum is σ = 326369840640. Its totient is φ = 277174275840.

The previous prime is 301137112103. The next prime is 301137112123. The reversal of 301137112121 is 121211731103.

It is a cyclic number.

It is not a de Polignac number, because 301137112121 - 214 = 301137095737 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (301137112123) 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 15 ways as a sum of consecutive naturals, for example, 2439536 + ... + 2560001.

It is an arithmetic number, because the mean of its divisors is an integer number (20398115040).

Almost surely, 2301137112121 is an apocalyptic number.

301137112121 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

301137112121 is a deficient number, since it is larger than the sum of its proper divisors (25232728519).

301137112121 is a wasteful number, since it uses less digits than its factorization.

301137112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4999664.

The product of its (nonzero) digits is 252, while the sum is 23.

Adding to 301137112121 its reverse (121211731103), we get a palindrome (422348843224).

The spelling of 301137112121 in words is "three hundred one billion, one hundred thirty-seven million, one hundred twelve thousand, one hundred twenty-one".

Divisors: 1 29 31 67 899 1943 2077 60233 4999537 144986573 154985647 334968979 4494583763 9714100391 10384038349 301137112121