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11313203202450 = 2325297709365557
BaseRepresentation
bin1010010010100000111101…
…1101010100100110010010
31111001112100120201212212200
42210220033131110212102
52440323420004434300
640021114103104030
72245231502366412
oct244501735244622
944045316655780
1011313203202450
1136719a2300676
1213286a8a42016
13640aa4760496
142b17c201a642
15149438058200
hexa4a0f754992

11313203202450 has 144 divisors (see below), whose sum is σ = 30751550498760. Its totient is φ = 2981533224960.

The previous prime is 11313203202449. The next prime is 11313203202533. The reversal of 11313203202450 is 5420230231311.

11313203202450 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 3 + 2 + 0 + 3 + 202 + 450 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1006464413529 + 10306738788921 = 1003227^2 + 3210411^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30765072 + ... + 31130628.

Almost surely, 211313203202450 is an apocalyptic number.

11313203202450 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 11313203202450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15375775249380).

11313203202450 is an abundant number, since it is smaller than the sum of its proper divisors (19438347296310).

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

11313203202450 is a wasteful number, since it uses less digits than its factorization.

11313203202450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366381 (or 366373 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 11313203202450 its reverse (5420230231311), we get a palindrome (16733433433761).

The spelling of 11313203202450 in words is "eleven trillion, three hundred thirteen billion, two hundred three million, two hundred two thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 97 150 194 225 291 450 485 582 709 873 970 1418 1455 1746 2127 2425 2910 3545 4254 4365 4850 6381 7090 7275 8730 10635 12762 14550 17725 21270 21825 31905 35450 43650 53175 63810 68773 106350 137546 159525 206319 319050 343865 365557 412638 618957 687730 731114 1031595 1096671 1237914 1719325 1827785 2063190 2193342 3094785 3290013 3438650 3655570 5157975 5483355 6189570 6580026 9138925 10315950 10966710 15473925 16450065 18277850 27416775 30947850 32900130 35459029 54833550 70918058 82250325 106377087 164500650 177295145 212754174 259179913 319131261 354590290 518359826 531885435 638262522 777539739 886475725 1063770870 1295899565 1555079478 1595656305 1772951450 2332619217 2591799130 2659427175 3191312610 3887698695 4665238434 5318854350 6479497825 7775397390 7978281525 11663096085 12958995650 15956563050 19438493475 23326192170 25140451561 38876986950 50280903122 58315480425 75421354683 116630960850 125702257805 150842709366 226264064049 251404515610 377106773415 452528128098 628511289025 754213546830 1131320320245 1257022578050 1885533867075 2262640640490 3771067734150 5656601601225 11313203202450