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11234100000 = 2535537447
BaseRepresentation
bin10100111011001101…
…01100001100100000
31001222220221102001210
422131212230030200
5141001412200000
65054425430120
7545251163064
oct123546541440
931886842053
1011234100000
1148453a1672
12221633b340
1310a0590b66
1478800baa4
1545b3d2350
hex29d9ac320

11234100000 has 144 divisors (see below), whose sum is σ = 36860515776. Its totient is φ = 2995680000.

The previous prime is 11234099971. The next prime is 11234100001. The reversal of 11234100000 is 143211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (11234100001) 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, 281277 + ... + 318723.

It is an arithmetic number, because the mean of its divisors is an integer number (255975804).

Almost surely, 211234100000 is an apocalyptic number.

11234100000 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 11234100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18430257888).

11234100000 is an abundant number, since it is smaller than the sum of its proper divisors (25626415776).

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

11234100000 is an frugal number, since it uses more digits than its factorization.

11234100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37485 (or 37457 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 11234100000 its reverse (143211), we get a palindrome (11234243211).

The spelling of 11234100000 in words is "eleven billion, two hundred thirty-four million, one hundred thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3125 3750 4000 5000 6000 6250 7500 9375 10000 12000 12500 15000 18750 20000 25000 30000 37447 37500 50000 60000 74894 75000 100000 112341 149788 150000 187235 224682 299576 300000 374470 449364 561705 599152 748940 898728 936175 1123410 1198304 1497880 1797456 1872350 2246820 2808525 2995760 3594912 3744700 4493640 4680875 5617050 5991520 7489400 8987280 9361750 11234100 14042625 14978800 17974560 18723500 22468200 23404375 28085250 29957600 37447000 44936400 46808750 56170500 70213125 74894000 89872800 93617500 112341000 117021875 140426250 149788000 187235000 224682000 234043750 280852500 351065625 374470000 449364000 468087500 561705000 702131250 748940000 936175000 1123410000 1404262500 1872350000 2246820000 2808525000 3744700000 5617050000 11234100000