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11234232400 = 2452178831871
BaseRepresentation
bin10100111011001110…
…01100100001010000
31001222221012010200111
422131213030201100
5141001430414100
65054432331104
7545252254066
oct123547144120
931887163614
1011234232400
114845482096
1222163a3a94
1310a06091c1
14788044036
1545b40b6ba
hex29d9cc850

11234232400 has 120 divisors (see below), whose sum is σ = 28625560704. Its totient is φ = 4222310400.

The previous prime is 11234232389. The next prime is 11234232407. The reversal of 11234232400 is 423243211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11234232407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6003465 + ... + 6005335.

Almost surely, 211234232400 is an apocalyptic number.

11234232400 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 11234232400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14312780352).

11234232400 is an abundant number, since it is smaller than the sum of its proper divisors (17391328304).

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

11234232400 is a wasteful number, since it uses less digits than its factorization.

11234232400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2789 (or 2778 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 11234232400 its reverse (423243211), we get a palindrome (11657475611).

The spelling of 11234232400 in words is "eleven billion, two hundred thirty-four million, two hundred thirty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 340 400 425 680 850 883 1360 1700 1766 1871 3400 3532 3742 4415 6800 7064 7484 8830 9355 14128 14968 15011 17660 18710 22075 29936 30022 31807 35320 37420 44150 46775 60044 63614 70640 74840 75055 88300 93550 120088 127228 149680 150110 159035 176600 187100 240176 254456 300220 318070 353200 374200 375275 508912 600440 636140 748400 750550 795175 1200880 1272280 1501100 1590350 1652093 2544560 3002200 3180700 3304186 6004400 6361400 6608372 8260465 12722800 13216744 16520930 26433488 28085581 33041860 41302325 56171162 66083720 82604650 112342324 132167440 140427905 165209300 224684648 280855810 330418600 449369296 561711620 660837200 702139525 1123423240 1404279050 2246846480 2808558100 5617116200 11234232400