Search a number
-
+
320000303301231 = 372731032811030307
BaseRepresentation
bin100100011000010011110000…
…0011010000000001001101111
31112222000201201100010101120210
41020300213200122000021233
5313420341110121114411
63052330035423113503
7124255154553521100
oct11060474032001157
91488021640111523
10320000303301231
1192a64403906233
122ba82252142893
1310972b8c4a1127
1459041510863a7
1526ede20156ca6
hex12309e068026f

320000303301231 has 96 divisors (see below), whose sum is σ = 509819081660928. Its totient is φ = 177965662049280.

The previous prime is 320000303301229. The next prime is 320000303301251. The reversal of 320000303301231 is 132103303000023.

It is not a de Polignac number, because 320000303301231 - 21 = 320000303301229 is a prime.

It is a super-2 number, since 2×3200003033012312 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 320000303301198 and 320000303301207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320000303301251) 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 95 ways as a sum of consecutive naturals, for example, 310072180 + ... + 311102486.

It is an arithmetic number, because the mean of its divisors is an integer number (5310615433968).

Almost surely, 2320000303301231 is an apocalyptic number.

320000303301231 is a deficient number, since it is larger than the sum of its proper divisors (189818778359697).

320000303301231 is a wasteful number, since it uses less digits than its factorization.

320000303301231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030781 (or 1030774 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 320000303301231 its reverse (132103303000023), we get a palindrome (452103606301254).

The spelling of 320000303301231 in words is "three hundred twenty trillion, three hundred three million, three hundred one thousand, two hundred thirty-one".

Divisors: 1 3 7 21 49 73 103 147 219 281 309 511 721 843 1533 1967 2163 3577 5047 5901 7519 10731 13769 15141 20513 22557 28943 41307 52633 61539 86829 143591 157899 202601 368431 430773 607803 1005137 1030307 1105293 1418207 2112839 3015411 3090921 4254621 6338517 7212149 14789873 21636447 44369619 50485043 75212411 103529111 106121621 151455129 225637233 289516267 310587333 318364863 526486877 742851347 868548801 1579460631 2026613869 2228554041 3685408139 5199959429 6079841607 7746878333 11056224417 14186297083 15599878287 21134687491 23240634999 29820175501 42558891249 54228148331 63404062473 89460526503 147942812437 162684444993 208741228507 379597038317 443828437311 626223685521 1035599687059 1138791114951 1461188599549 2176872811573 3106799061177 4383565798647 6530618434719 15238109681011 45714329043033 106666767767077 320000303301231