Search a number
-
+
3220312430100 = 2235219717957283
BaseRepresentation
bin101110110111001001100…
…101000001011000010100
3102101212012002222022201110
4232313021211001120110
5410230144440230400
610503220251255020
7451442226004653
oct56671145013024
912355162868643
103220312430100
1110317aa460297
1244015014a470
131a489c18748c
14b1c1498b19a
1558b7b09ae50
hex2edc9941614

3220312430100 has 144 divisors (see below), whose sum is σ = 9945968417280. Its totient is φ = 802094025600.

The previous prime is 3220312430063. The next prime is 3220312430129. The reversal of 3220312430100 is 10342130223.

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 47 ways as a sum of consecutive naturals, for example, 3573942 + ... + 4383341.

It is an arithmetic number, because the mean of its divisors is an integer number (69069225120).

Almost surely, 23220312430100 is an apocalyptic number.

3220312430100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3220312430100 is an abundant number, since it is smaller than the sum of its proper divisors (6725655987180).

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

3220312430100 is a wasteful number, since it uses less digits than its factorization.

3220312430100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7957390 (or 7957383 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 3220312430100 its reverse (10342130223), we get a palindrome (3230654560323).

The spelling of 3220312430100 in words is "three trillion, two hundred twenty billion, three hundred twelve million, four hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 71 75 76 95 100 114 142 150 190 213 228 284 285 300 355 380 426 475 570 710 852 950 1065 1140 1349 1420 1425 1775 1900 2130 2698 2850 3550 4047 4260 5325 5396 5700 6745 7100 8094 10650 13490 16188 20235 21300 26980 33725 40470 67450 80940 101175 134900 202350 404700 7957283 15914566 23871849 31829132 39786415 47743698 79572830 95487396 119359245 151188377 159145660 198932075 238718490 302376754 397864150 453565131 477436980 564967093 596796225 604753508 755941885 795728300 907130262 1129934186 1193592450 1511883770 1694901279 1814260524 2259868372 2267825655 2387184900 2824835465 3023767540 3389802558 3779709425 4535651310 5649670930 6779605116 7559418850 8474506395 9071302620 10734374767 11299341860 11339128275 14124177325 15118837700 16949012790 21468749534 22678256550 28248354650 32203124301 33898025580 42372531975 42937499068 45356513100 53671873835 56496709300 64406248602 84745063950 107343747670 128812497204 161015621505 169490127900 214687495340 268359369175 322031243010 536718738350 644062486020 805078107525 1073437476700 1610156215050 3220312430100