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11100023310 = 2353797103093
BaseRepresentation
bin10100101011001110…
…01110101000001110
31001122120122121102110
422111213032220032
5140213101221220
65033240004450
7542032432665
oct122547165016
931576577373
1011100023310
114786745892
122199460726
13107b87893c
147742a9ddc
1544e74abe0
hex2959cea0e

11100023310 has 64 divisors (see below), whose sum is σ = 27642388032. Its totient is φ = 2850287616.

The previous prime is 11100023309. The next prime is 11100023317. The reversal of 11100023310 is 1332000111.

11100023310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×111000233102 (a number of 21 digits) contains 22 as substring.

11100023310 is a modest number, since divided by 23310 gives 11100 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100023317) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 56124 + ... + 159216.

It is an arithmetic number, because the mean of its divisors is an integer number (431912313).

Almost surely, 211100023310 is an apocalyptic number.

11100023310 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 11100023310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13821194016).

11100023310 is an abundant number, since it is smaller than the sum of its proper divisors (16542364722).

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

11100023310 is a wasteful number, since it uses less digits than its factorization.

11100023310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103237.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 11100023310 its reverse (1332000111), we get a palindrome (12432023421).

The spelling of 11100023310 in words is "eleven billion, one hundred million, twenty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 97 111 185 194 222 291 370 485 555 582 970 1110 1455 2910 3589 7178 10767 17945 21534 35890 53835 103093 107670 206186 309279 515465 618558 1030930 1546395 3092790 3814441 7628882 10000021 11443323 19072205 20000042 22886646 30000063 38144410 50000105 57216615 60000126 100000210 114433230 150000315 300000630 370000777 740001554 1110002331 1850003885 2220004662 3700007770 5550011655 11100023310