Search a number
-
+
10011111300 = 22335217218107
BaseRepresentation
bin10010101001011010…
…10110111110000100
3221211200200010222000
421110231112332010
5131000321030200
64333220505300
7503041020261
oct112455267604
927750603860
1010011111300
114278014103
121b3484b230
13c370aaac8
146ad816268
153d8d55300
hex254b56f84

10011111300 has 144 divisors (see below), whose sum is σ = 34077193920. Its totient is φ = 2512581120.

The previous prime is 10011111293. The next prime is 10011111337. The reversal of 10011111300 is 311111001.

10011111300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63154 + ... + 154953.

It is an arithmetic number, because the mean of its divisors is an integer number (236647180).

Almost surely, 210011111300 is an apocalyptic number.

10011111300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011111300 is an abundant number, since it is smaller than the sum of its proper divisors (24066082620).

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

10011111300 is a wasteful number, since it uses less digits than its factorization.

10011111300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218147 (or 218134 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 10011111300 its reverse (311111001), we get a palindrome (10322222301).

The spelling of 10011111300 in words is "ten billion, eleven million, one hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 25 27 30 34 36 45 50 51 54 60 68 75 85 90 100 102 108 135 150 153 170 180 204 225 255 270 300 306 340 425 450 459 510 540 612 675 765 850 900 918 1020 1275 1350 1530 1700 1836 2295 2550 2700 3060 3825 4590 5100 7650 9180 11475 15300 22950 45900 218107 436214 654321 872428 1090535 1308642 1962963 2181070 2617284 3271605 3707819 3925926 4362140 5452675 5888889 6543210 7415638 7851852 9814815 10905350 11123457 11777778 13086420 14831276 16358025 18539095 19629630 21810700 22246914 23555556 29444445 32716050 33370371 37078190 39259260 44493828 49074075 55617285 58888890 65432100 66740742 74156380 92695475 98148150 100111113 111234570 117777780 133481484 147222225 166851855 185390950 196296300 200222226 222469140 278086425 294444450 333703710 370781900 400444452 500555565 556172850 588888900 667407420 834259275 1001111130 1112345700 1668518550 2002222260 2502777825 3337037100 5005555650 10011111300