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11100023000 = 2353111317703
BaseRepresentation
bin10100101011001110…
…01110100011011000
31001122120122120222222
422111213032203120
5140213101214000
65033240003212
7542032432043
oct122547164330
931576576888
1011100023000
114786745630
122199460508
13107b878761
147742a9c5a
1544e74aa85
hex2959ce8d8

11100023000 has 128 divisors (see below), whose sum is σ = 28555338240. Its totient is φ = 4005040000.

The previous prime is 11100022991. The next prime is 11100023069. The reversal of 11100023000 is 32000111.

11100023000 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 (8).

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 31 ways as a sum of consecutive naturals, for example, 1437149 + ... + 1444851.

It is an arithmetic number, because the mean of its divisors is an integer number (223088580).

Almost surely, 211100023000 is an apocalyptic number.

11100023000 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 11100023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14277669120).

11100023000 is an abundant number, since it is smaller than the sum of its proper divisors (17455315240).

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

11100023000 is a wasteful number, since it uses less digits than its factorization.

11100023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7866 (or 7852 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 11100023000 its reverse (32000111), we get a palindrome (11132023111).

The spelling of 11100023000 in words is "eleven billion, one hundred million, twenty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 131 200 220 250 262 275 440 500 524 550 655 1000 1048 1100 1310 1375 1441 2200 2620 2750 2882 3275 5240 5500 5764 6550 7205 7703 11000 11528 13100 14410 15406 16375 26200 28820 30812 32750 36025 38515 57640 61624 65500 72050 77030 84733 131000 144100 154060 169466 180125 192575 288200 308120 338932 360250 385150 423665 677864 720500 770300 847330 962875 1009093 1441000 1540600 1694660 1925750 2018186 2118325 3389320 3851500 4036372 4236650 5045465 7703000 8072744 8473300 10090930 10591625 11100023 16946600 20181860 21183250 22200046 25227325 40363720 42366500 44400092 50454650 55500115 84733000 88800184 100909300 111000230 126136625 201818600 222000460 252273250 277500575 444000920 504546500 555001150 1009093000 1110002300 1387502875 2220004600 2775005750 5550011500 11100023000