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11431312350 = 23521733731181
BaseRepresentation
bin10101010010101101…
…11111101111011110
31002111200000211112220
422221112333233132
5141402403443400
65130152410210
7553164360153
oct125126775736
932450024486
1011431312350
114936750187
1222703a6966
1311023b0363
147a62a622a
1546d88a7a0
hex2a95bfbde

11431312350 has 96 divisors (see below), whose sum is σ = 28614177504. Its totient is φ = 3020044800.

The previous prime is 11431312309. The next prime is 11431312351. The reversal of 11431312350 is 5321313411.

It is a self number, because there is not a number n which added to its sum of digits gives 11431312350.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11431312351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9678760 + ... + 9679940.

It is an arithmetic number, because the mean of its divisors is an integer number (298064349).

Almost surely, 211431312350 is an apocalyptic number.

11431312350 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 11431312350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14307088752).

11431312350 is an abundant number, since it is smaller than the sum of its proper divisors (17182865154).

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

11431312350 is a wasteful number, since it uses less digits than its factorization.

11431312350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 11431312350 its reverse (5321313411), we get a palindrome (16752625761).

The spelling of 11431312350 in words is "eleven billion, four hundred thirty-one million, three hundred twelve thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 173 346 373 519 746 865 1038 1119 1181 1730 1865 2238 2362 2595 3543 3730 4325 5190 5595 5905 7086 8650 9325 11190 11810 12975 17715 18650 25950 27975 29525 35430 55950 59050 64529 88575 129058 177150 193587 204313 322645 387174 408626 440513 612939 645290 881026 967935 1021565 1225878 1321539 1613225 1935870 2043130 2202565 2643078 3064695 3226450 4405130 4839675 5107825 6129390 6607695 9679350 10215650 11012825 13215390 15323475 22025650 30646950 33038475 66076950 76208749 152417498 228626247 381043745 457252494 762087490 1143131235 1905218725 2286262470 3810437450 5715656175 11431312350