Search a number
-
+
11320110300 = 22352101547683
BaseRepresentation
bin10101000101011101…
…10010110011011100
31002012220210012000110
422202232302303130
5141140422012200
65111141130020
7550344231012
oct124256626334
932186705013
1011320110300
1148899a8464
12223b0b9910
1310b5346b25
147955da8b2
15463c21b50
hex2a2bb2cdc

11320110300 has 144 divisors (see below), whose sum is σ = 33186125952. Its totient is φ = 2978976000.

The previous prime is 11320110289. The next prime is 11320110341. The reversal of 11320110300 is 301102311.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 16573759 + ... + 16574441.

It is an arithmetic number, because the mean of its divisors is an integer number (230459208).

Almost surely, 211320110300 is an apocalyptic number.

11320110300 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 11320110300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16593062976).

11320110300 is an abundant number, since it is smaller than the sum of its proper divisors (21866015652).

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

11320110300 is a wasteful number, since it uses less digits than its factorization.

11320110300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 11320110300 its reverse (301102311), we get a palindrome (11621212611).

The spelling of 11320110300 in words is "eleven billion, three hundred twenty million, one hundred ten thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 101 150 202 300 303 404 505 547 606 683 1010 1094 1212 1366 1515 1641 2020 2049 2188 2525 2732 2735 3030 3282 3415 4098 5050 5470 6060 6564 6830 7575 8196 8205 10100 10245 10940 13660 13675 15150 16410 17075 20490 27350 30300 32820 34150 40980 41025 51225 54700 55247 68300 68983 82050 102450 110494 137966 164100 165741 204900 206949 220988 275932 276235 331482 344915 373601 413898 552470 662964 689830 747202 827796 828705 1034745 1104940 1120803 1379660 1381175 1494404 1657410 1724575 1868005 2069490 2241606 2762350 3314820 3449150 3736010 4138980 4143525 4483212 5173725 5524700 5604015 6898300 7472020 8287050 9340025 10347450 11208030 16574100 18680050 20694900 22416060 28020075 37360100 37733701 56040150 75467402 112080300 113201103 150934804 188668505 226402206 377337010 452804412 566005515 754674020 943342525 1132011030 1886685050 2264022060 2830027575 3773370100 5660055150 11320110300