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11042010300 = 2235246179841
BaseRepresentation
bin10100100100010011…
…11011010010111100
31001111112111020112110
422102021323102330
5140103223312200
65023404334020
7540426352566
oct122211732274
931445436473
1011042010300
114756a21852
122181b44310
13106c846209
1476a6c8336
154495dbb50
hex29227b4bc

11042010300 has 72 divisors (see below), whose sum is σ = 32017919472. Its totient is φ = 2938112000.

The previous prime is 11042010299. The next prime is 11042010319. The reversal of 11042010300 is 301024011.

It is a happy number.

11042010300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 98380 + ... + 178220.

It is an arithmetic number, because the mean of its divisors is an integer number (444693326).

Almost surely, 211042010300 is an apocalyptic number.

11042010300 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 11042010300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16008959736).

11042010300 is an abundant number, since it is smaller than the sum of its proper divisors (20975909172).

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

11042010300 is a wasteful number, since it uses less digits than its factorization.

11042010300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80319 (or 80312 counting only the distinct ones).

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

Adding to 11042010300 its reverse (301024011), we get a palindrome (11343034311).

The spelling of 11042010300 in words is "eleven billion, forty-two million, ten thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 461 922 1383 1844 2305 2766 4610 5532 6915 9220 11525 13830 23050 27660 34575 46100 69150 79841 138300 159682 239523 319364 399205 479046 798410 958092 1197615 1596820 1996025 2395230 3992050 4790460 5988075 7984100 11976150 23952300 36806701 73613402 110420103 147226804 184033505 220840206 368067010 441680412 552100515 736134020 920167525 1104201030 1840335050 2208402060 2760502575 3680670100 5521005150 11042010300