Search a number
-
+
11111323110 = 2353747373571
BaseRepresentation
bin10100101100100100…
…10101010111100110
31001200100220200211120
422112102111113212
5140223444314420
65034322114410
7542230455006
oct122622252746
931610820746
1011111323110
114792063568
1221a11aba06
131081004004
147759ac006
1545072dd40
hex2964955e6

11111323110 has 128 divisors (see below), whose sum is σ = 28094736384. Its totient is φ = 2809105920.

The previous prime is 11111323049. The next prime is 11111323127. The reversal of 11111323110 is 1132311111.

11111323110 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11111323110.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 19459125 + ... + 19459695.

It is an arithmetic number, because the mean of its divisors is an integer number (219490128).

Almost surely, 211111323110 is an apocalyptic number.

11111323110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11111323110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14047368192).

11111323110 is an abundant number, since it is smaller than the sum of its proper divisors (16983413274).

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

11111323110 is a wasteful number, since it uses less digits than its factorization.

11111323110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038.

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 11111323110 its reverse (1132311111), we get a palindrome (12243634221).

The spelling of 11111323110 in words is "eleven billion, one hundred eleven million, three hundred twenty-three thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 47 74 94 111 141 185 222 235 282 370 373 470 555 571 705 746 1110 1119 1142 1410 1713 1739 1865 2238 2855 3426 3478 3730 5217 5595 5710 8565 8695 10434 11190 13801 17130 17390 17531 21127 26085 26837 27602 35062 41403 42254 52170 52593 53674 63381 69005 80511 82806 87655 105186 105635 126762 134185 138010 161022 175310 207015 211270 212983 262965 268370 316905 402555 414030 425966 525930 633810 638949 648647 805110 992969 1064915 1277898 1297294 1945941 1985938 2129830 2978907 3194745 3243235 3891882 4964845 5957814 6389490 6486470 7880371 9729705 9929690 10010201 14894535 15760742 19459410 20020402 23641113 29789070 30030603 39401855 47282226 50051005 60061206 78803710 100102010 118205565 150153015 236411130 300306030 370377437 740754874 1111132311 1851887185 2222264622 3703774370 5555661555 11111323110