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11234231010 = 2345101137321
BaseRepresentation
bin10100111011001110…
…01100001011100010
31001222221012001210000
422131213030023202
5141001430343020
65054432320430
7545252250042
oct123547141342
931887161700
1011234231010
114845481042
1222163a3116
1310a0608692
14788043722
1545b40b090
hex29d9cc2e2

11234231010 has 80 divisors (see below), whose sum is σ = 30506906232. Its totient is φ = 2966112000.

The previous prime is 11234231009. The next prime is 11234231039. The reversal of 11234231010 is 1013243211.

11234231010 is a `hidden beast` number, since 1 + 1 + 2 + 342 + 310 + 10 = 666.

11234231010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11207821689 + 26409321 = 105867^2 + 5139^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13150 + ... + 150470.

Almost surely, 211234231010 is an apocalyptic number.

11234231010 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 11234231010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15253453116).

11234231010 is an abundant number, since it is smaller than the sum of its proper divisors (19272675222).

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

11234231010 is a wasteful number, since it uses less digits than its factorization.

11234231010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137441 (or 137432 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11234231010 its reverse (1013243211), we get a palindrome (12247474221).

The spelling of 11234231010 in words is "eleven billion, two hundred thirty-four million, two hundred thirty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 101 135 162 202 270 303 405 505 606 810 909 1010 1515 1818 2727 3030 4545 5454 8181 9090 13635 16362 27270 40905 81810 137321 274642 411963 686605 823926 1235889 1373210 2059815 2471778 3707667 4119630 6179445 7415334 11123001 12358890 13869421 18538335 22246002 27738842 37076670 41608263 55615005 69347105 83216526 111230010 124824789 138694210 208041315 249649578 374474367 416082630 624123945 748948734 1123423101 1248247890 1872371835 2246846202 3744743670 5617115505 11234231010