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11243212000 = 255319147937
BaseRepresentation
bin10100111100010010…
…11100110011100000
31002000120002100101021
422132021130303200
5141011230241000
65055353015224
7545421503506
oct123611346340
932016070337
1011243212000
11484a555649
1222193b4514
1310a2431487
14789300676
1545c0d211a
hex29e25cce0

11243212000 has 96 divisors (see below), whose sum is σ = 29078693280. Its totient is φ = 4260556800.

The previous prime is 11243211997. The next prime is 11243212009. The reversal of 11243212000 is 21234211.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11243212009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2032 + ... + 149968.

It is an arithmetic number, because the mean of its divisors is an integer number (302903055).

Almost surely, 211243212000 is an apocalyptic number.

11243212000 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 11243212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14539346640).

11243212000 is an abundant number, since it is smaller than the sum of its proper divisors (17835481280).

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

11243212000 is a wasteful number, since it uses less digits than its factorization.

11243212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147981 (or 147963 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11243212000 its reverse (21234211), we get a palindrome (11264446211).

The spelling of 11243212000 in words is "eleven billion, two hundred forty-three million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 125 152 160 190 200 250 304 380 400 475 500 608 760 800 950 1000 1520 1900 2000 2375 3040 3800 4000 4750 7600 9500 15200 19000 38000 76000 147937 295874 591748 739685 1183496 1479370 2366992 2810803 2958740 3698425 4733984 5621606 5917480 7396850 11243212 11834960 14054015 14793700 18492125 22486424 23669920 28108030 29587400 36984250 44972848 56216060 59174800 70270075 73968500 89945696 112432120 118349600 140540150 147937000 224864240 281080300 295874000 351350375 449728480 562160600 591748000 702700750 1124321200 1405401500 2248642400 2810803000 5621606000 11243212000