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12311031000300 = 22352229677264697
BaseRepresentation
bin1011001100100110001010…
…1000010010110011101100
31121120220220220210000012020
42303021202220102303230
53103200442414002200
642103335355510140
72410304552623524
oct263114250226354
947526826700166
1012311031000300
113a1709606297a
121469b63458350
136b3c049ab1b6
14307bddb80684
15165388c43ea0
hexb3262a12cec

12311031000300 has 144 divisors (see below), whose sum is σ = 35828441312160. Its totient is φ = 3263765207040.

The previous prime is 12311031000259. The next prime is 12311031000311. The reversal of 12311031000300 is 300013011321.

It is a super-2 number, since 2×123110310003002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12311031000300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46377552 + ... + 46642248.

Almost surely, 212311031000300 is an apocalyptic number.

12311031000300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12311031000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17914220656080).

12311031000300 is an abundant number, since it is smaller than the sum of its proper divisors (23517410311860).

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

12311031000300 is a wasteful number, since it uses less digits than its factorization.

12311031000300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265620 (or 265613 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 12311031000300 its reverse (300013011321), we get a palindrome (12611044011621).

The spelling of 12311031000300 in words is "twelve trillion, three hundred eleven billion, thirty-one million, three hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 229 300 458 677 687 916 1145 1354 1374 2031 2290 2708 2748 3385 3435 4062 4580 5725 6770 6870 8124 10155 11450 13540 13740 16925 17175 20310 22900 33850 34350 40620 50775 67700 68700 101550 155033 203100 264697 310066 465099 529394 620132 775165 794091 930198 1058788 1323485 1550330 1588182 1860396 2325495 2646970 3100660 3176364 3875825 3970455 4650990 5293940 6617425 7751650 7940910 9301980 11627475 13234850 15503300 15881820 19852275 23254950 26469700 39704550 46509900 60615613 79409100 121231226 179199869 181846839 242462452 303078065 358399738 363693678 537599607 606156130 716799476 727387356 895999345 909234195 1075199214 1212312260 1515390325 1791998690 1818468390 2150398428 2687998035 3030780650 3583997380 3636936780 4479996725 4546170975 5375996070 6061561300 8959993450 9092341950 10751992140 13439990175 17919986900 18184683900 26879980350 41036770001 53759960700 82073540002 123110310003 164147080004 205183850005 246220620006 410367700010 492441240012 615551550015 820735400020 1025919250025 1231103100030 2051838500050 2462206200060 3077757750075 4103677000100 6155515500150 12311031000300