Search a number
-
+
320100111100 = 2252711172445379
BaseRepresentation
bin1001010100001110111…
…01000001001011111100
31010121020022211110121101
410222013131001023330
520221031112023400
6403015120142444
732061244023340
oct4520735011374
91117208743541
10320100111100
11113832193270
1252054a67a24
1324254188783
14116c8847620
1584d710256a
hex4a877412fc

320100111100 has 144 divisors (see below), whose sum is σ = 916958810880. Its totient is φ = 93902515200.

The previous prime is 320100111017. The next prime is 320100111119. The reversal of 320100111100 is 1111001023.

It is a super-2 number, since 2×3201001111002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 1091790 + ... + 1353589.

It is an arithmetic number, because the mean of its divisors is an integer number (6367769520).

Almost surely, 2320100111100 is an apocalyptic number.

It is an amenable number.

320100111100 is an abundant number, since it is smaller than the sum of its proper divisors (596858699780).

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

320100111100 is a wasteful number, since it uses less digits than its factorization.

320100111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2445428 (or 2445421 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 320100111100 its reverse (1111001023), we get a palindrome (321211112123).

The spelling of 320100111100 in words is "three hundred twenty billion, one hundred million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 17 20 22 25 28 34 35 44 50 55 68 70 77 85 100 110 119 140 154 170 175 187 220 238 275 308 340 350 374 385 425 476 550 595 700 748 770 850 935 1100 1190 1309 1540 1700 1870 1925 2380 2618 2975 3740 3850 4675 5236 5950 6545 7700 9350 11900 13090 18700 26180 32725 65450 130900 2445379 4890758 9781516 12226895 17117653 24453790 26899169 34235306 41571443 48907580 53798338 61134475 68470612 83142886 85588265 107596676 122268950 134495845 166285772 171176530 188294183 207857215 244537900 268991690 291000101 342353060 376588366 415714430 427941325 457285873 537983380 582000202 672479225 753176732 831428860 855882650 914571746 941470915 1039286075 1164000404 1344958450 1455000505 1711765300 1829143492 1882941830 2078572150 2286429365 2689916900 2910001010 3201001111 3765883660 4157144300 4572858730 4707354575 5820002020 6402002222 7275002525 9145717460 9414709150 11432146825 12804004444 14550005050 16005005555 18829418300 22864293650 29100010100 32010011110 45728587300 64020022220 80025027775 160050055550 320100111100