Search a number
-
+
301303212320 = 25511329951893
BaseRepresentation
bin1000110001001110001…
…00100010100100100000
31001210201100011001222002
410120213010202210200
514414032110243240
6350230005303132
730524401022225
oct4304704424440
91053640131862
10301303212320
11106866898a80
124a489a04aa8
1322549b1ca66
141082425b94c
157c86cd5d15
hex4627122920

301303212320 has 96 divisors (see below), whose sum is σ = 776790907200. Its totient is φ = 109529482240.

The previous prime is 301303212319. The next prime is 301303212323. The reversal of 301303212320 is 23212303103.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 301303212292 and 301303212301.

It is not an unprimeable number, because it can be changed into a prime (301303212323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5780294 + ... + 5832186.

It is an arithmetic number, because the mean of its divisors is an integer number (8091571950).

Almost surely, 2301303212320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 301303212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388395453600).

301303212320 is an abundant number, since it is smaller than the sum of its proper divisors (475487694880).

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

301303212320 is a wasteful number, since it uses less digits than its factorization.

301303212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55218 (or 55210 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 301303212320 its reverse (23212303103), we get a palindrome (324515515423).

The spelling of 301303212320 in words is "three hundred one billion, three hundred three million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 3299 6598 13196 16495 26392 32990 36289 51893 52784 65980 72578 103786 105568 131960 145156 181445 207572 259465 263920 290312 362890 415144 518930 527840 570823 580624 725780 830288 1037860 1141646 1161248 1451560 1660576 2075720 2283292 2854115 2903120 4151440 4566584 5708230 5806240 8302880 9133168 11416460 18266336 22832920 45665840 91331680 171195007 342390014 684780028 855975035 1369560056 1711950070 1883145077 2739120112 3423900140 3766290154 5478240224 6847800280 7532580308 9415725385 13695600560 15065160616 18831450770 27391201120 30130321232 37662901540 60260642464 75325803080 150651606160 301303212320