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305315011230 = 235311034097793
BaseRepresentation
bin1000111000101100011…
…00010101101010011110
31002012001221001120110220
410130112030111222132
520000241120324410
6352132040142210
731025663530035
oct4342614255236
91065057046426
10305315011230
11108535400969
124b209467966
1322a39012a78
1410ac4da371c
157e1e0dc070
hex4716315a9e

305315011230 has 128 divisors (see below), whose sum is σ = 765702512640. Its totient is φ = 77825249280.

The previous prime is 305315011151. The next prime is 305315011279. The reversal of 305315011230 is 32110513503.

It is a super-2 number, since 2×3053150112302 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 305315011230.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 39174214 + ... + 39182006.

It is an arithmetic number, because the mean of its divisors is an integer number (5982050880).

Almost surely, 2305315011230 is an apocalyptic number.

305315011230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 305315011230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382851256320).

305315011230 is an abundant number, since it is smaller than the sum of its proper divisors (460387501410).

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

305315011230 is a wasteful number, since it uses less digits than its factorization.

305315011230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8346.

The product of its (nonzero) digits is 1350, while the sum is 24.

Adding to 305315011230 its reverse (32110513503), we get a palindrome (337425524733).

The spelling of 305315011230 in words is "three hundred five billion, three hundred fifteen million, eleven thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 103 155 186 206 309 310 409 465 515 618 818 930 1030 1227 1545 2045 2454 3090 3193 4090 6135 6386 7793 9579 12270 12679 15586 15965 19158 23379 25358 31930 38037 38965 42127 46758 47895 63395 76074 77930 84254 95790 116895 126381 126790 190185 210635 233790 241583 252762 380370 421270 483166 631905 724749 802679 1207915 1263810 1305937 1449498 1605358 2408037 2415830 2611874 3187337 3623745 3917811 4013395 4816074 6374674 6529685 7247490 7835622 8026790 9562011 12040185 13059370 15936685 19124022 19589055 24080370 24883049 31873370 39178110 47810055 49766098 74649147 95620110 98807447 124415245 149298294 197614894 248830490 296422341 328295711 373245735 494037235 592844682 656591422 746491470 984887133 988074470 1482111705 1641478555 1969774266 2964223410 3282957110 4924435665 9848871330 10177167041 20354334082 30531501123 50885835205 61063002246 101771670410 152657505615 305315011230