Search a number
-
+
301223043342 = 232131797439679
BaseRepresentation
bin1000110001000100100…
…10101110000100001110
31001210111202022001210200
410120202102232010032
514413401044341332
6350214023114330
730522405423354
oct4304222560416
91053452261720
10301223043342
11106825611921
124a466ba29a6
13225363307b0
141081774d7d4
157c7ec4c17c
hex46224ae10e

301223043342 has 96 divisors (see below), whose sum is σ = 707804697600. Its totient is φ = 92032670016.

The previous prime is 301223043281. The next prime is 301223043379. The reversal of 301223043342 is 243340322103.

301223043342 is a `hidden beast` number, since 3 + 0 + 1 + 22 + 304 + 334 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31116459 + ... + 31126137.

It is an arithmetic number, because the mean of its divisors is an integer number (7372965600).

Almost surely, 2301223043342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 301223043342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353902348800).

301223043342 is an abundant number, since it is smaller than the sum of its proper divisors (406581654258).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

301223043342 is a wasteful number, since it uses less digits than its factorization.

301223043342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10622 (or 10619 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 301223043342 its reverse (243340322103), we get a palindrome (544563365445).

The spelling of 301223043342 in words is "three hundred one billion, two hundred twenty-three million, forty-three thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 179 234 358 537 743 1074 1486 1611 2229 2327 3222 4458 4654 6687 6981 9659 9679 13374 13962 19318 19358 20943 28977 29037 41886 57954 58074 86931 87111 125827 132997 173862 174222 251654 265994 377481 398991 754962 797982 1132443 1196973 1728961 1732541 2264886 2393946 3457922 3465082 5186883 5197623 7191497 10373766 10395246 14382994 15560649 15592869 21574491 22523033 31121298 31185738 43148982 45046066 64723473 67569099 93489461 129446946 135138198 186978922 202707297 280468383 405414594 560936766 841405149 1287277963 1682810298 2574555926 3861833889 7723667778 11585501667 16734613519 23171003334 33469227038 50203840557 100407681114 150611521671 301223043342