Search a number
-
+
301331001213 = 32112276704317
BaseRepresentation
bin1000110001010001011…
…10100010111101111101
31001210210021102220011100
410120220232202331331
514414111214014323
6350232441043313
730525156151344
oct4305056427575
91053707386140
10301331001213
11106880549200
124a497186539
13225527cc4a8
1410827c12b5b
157c89474943
hex4628ba2f7d

301331001213 has 18 divisors (see below), whose sum is σ = 478421765822. Its totient is φ = 182624848560.

The previous prime is 301331001193. The next prime is 301331001247. The reversal of 301331001213 is 312100133103.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 203172858009 + 98158143204 = 450747^2 + 313302^2 .

It is not a de Polignac number, because 301331001213 - 210 = 301331000189 is a prime.

It is a super-3 number, since 3×3013310012133 (a number of 35 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301331001913) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 138351070 + ... + 138353247.

Almost surely, 2301331001213 is an apocalyptic number.

301331001213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

301331001213 is a deficient number, since it is larger than the sum of its proper divisors (177090764609).

301331001213 is a wasteful number, since it uses less digits than its factorization.

301331001213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276704345 (or 276704331 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 301331001213 its reverse (312100133103), we get a palindrome (613431134316).

The spelling of 301331001213 in words is "three hundred one billion, three hundred thirty-one million, one thousand, two hundred thirteen".

Divisors: 1 3 9 11 33 99 121 363 1089 276704317 830112951 2490338853 3043747487 9131242461 27393727383 33481222357 100443667071 301331001213