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11111312300 = 22521129477411
BaseRepresentation
bin10100101100100100…
…10010101110101100
31001200100220011000012
422112102102232230
5140223443443200
65034321552352
7542230411334
oct122622225654
931610804005
1011111312300
114792056430
1221a11a56b8
131080ccc10a
147759a80c4
1545072aa35
hex296492bac

11111312300 has 144 divisors (see below), whose sum is σ = 27793221120. Its totient is φ = 3817632000.

The previous prime is 11111312291. The next prime is 11111312323. The reversal of 11111312300 is 321311111.

It is a happy number.

It is a super-2 number, since 2×111113123002 (a number of 21 digits) contains 22 as substring.

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, 1495595 + ... + 1503005.

It is an arithmetic number, because the mean of its divisors is an integer number (193008480).

Almost surely, 211111312300 is an apocalyptic number.

11111312300 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 11111312300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13896610560).

11111312300 is an abundant number, since it is smaller than the sum of its proper divisors (16681908820).

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

11111312300 is a wasteful number, since it uses less digits than its factorization.

11111312300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7512 (or 7505 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 11111312300 its reverse (321311111), we get a palindrome (11432623411).

The spelling of 11111312300 in words is "eleven billion, one hundred eleven million, three hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 29 44 47 50 55 58 94 100 110 116 145 188 220 235 275 290 319 470 517 550 580 638 725 940 1034 1100 1175 1276 1363 1450 1595 2068 2350 2585 2726 2900 3190 4700 5170 5452 6380 6815 7411 7975 10340 12925 13630 14822 14993 15950 25850 27260 29644 29986 31900 34075 37055 51700 59972 68150 74110 74965 81521 136300 148220 149930 163042 185275 214919 299860 326084 348317 370550 374825 407605 429838 696634 741100 749650 815210 859676 1074595 1393268 1499300 1630420 1741585 2038025 2149190 2364109 3483170 3831487 4076050 4298380 4728218 5372975 6966340 7662974 8152100 8707925 9456436 10101193 10745950 11820545 15325948 17415850 19157435 20202386 21491900 23641090 34831700 38314870 40404772 47282180 50505965 59102725 76629740 95787175 101011930 111113123 118205450 191574350 202023860 222226246 236410900 252529825 383148700 444452492 505059650 555565615 1010119300 1111131230 2222262460 2777828075 5555656150 11111312300