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11311034243000 = 235383663720533
BaseRepresentation
bin1010010010011000111000…
…1011011001011110111000
31111001022202102110022212012
42210212032023121132320
52440304444231234000
640020114542505052
72245123654501442
oct244461613313670
944038672408765
1011311034243000
113670a89a522a8
1213281a2595188
1364081a2a961b
142b1657d3d492
1514935c91d735
hexa498e2d97b8

11311034243000 has 128 divisors (see below), whose sum is σ = 26792050259520. Its totient is φ = 4469011545600.

The previous prime is 11311034242999. The next prime is 11311034243027. The reversal of 11311034243000 is 34243011311.

11311034243000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 550860734 + ... + 550881266.

Almost surely, 211311034243000 is an apocalyptic number.

11311034243000 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 11311034243000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13396025129760).

11311034243000 is an abundant number, since it is smaller than the sum of its proper divisors (15481016016520).

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

11311034243000 is a wasteful number, since it uses less digits than its factorization.

11311034243000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27274 (or 27260 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 11311034243000 its reverse (34243011311), we get a palindrome (11345277254311).

The spelling of 11311034243000 in words is "eleven trillion, three hundred eleven billion, thirty-four million, two hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 83 100 125 166 200 250 332 415 500 664 830 1000 1660 2075 3320 4150 6637 8300 10375 13274 16600 20533 20750 26548 33185 41066 41500 53096 66370 82132 83000 102665 132740 164264 165925 205330 265480 331850 410660 513325 550871 663700 821320 829625 1026650 1101742 1327400 1659250 1704239 2053300 2203484 2566625 2754355 3318500 3408478 4106600 4406968 5133250 5508710 6637000 6816956 8521195 10266500 11017420 13633912 13771775 17042390 20533000 22034840 27543550 34084780 42605975 55087100 68169560 68858875 85211950 110174200 136277521 137717750 170423900 213029875 272555042 275435500 340847800 426059750 545110084 550871000 681387605 852119500 1090220168 1362775210 1704239000 2725550420 3406938025 5451100840 6813876050 11311034243 13627752100 17034690125 22622068486 27255504200 34069380250 45244136972 56555171215 68138760500 90488273944 113110342430 136277521000 226220684860 282775856075 452441369720 565551712150 1131103424300 1413879280375 2262206848600 2827758560750 5655517121500 11311034243000