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11124223000 = 2353115319081
BaseRepresentation
bin10100101110000111…
…00010110000011000
31001201021012002011021
422113003202300120
5140240300114000
65035502412224
7542445223012
oct122703426030
931637162137
1011124223000
114799374430
1221a5591074
13108389c797
147775a91b2
1545192b11a
hex2970e2c18

11124223000 has 128 divisors (see below), whose sum is σ = 28934418240. Its totient is φ = 3968640000.

The previous prime is 11124222953. The next prime is 11124223009. The reversal of 11124223000 is 32242111.

It is a super-3 number, since 3×111242230003 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11124223009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 573460 + ... + 592540.

Almost surely, 211124223000 is an apocalyptic number.

11124223000 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 11124223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14467209120).

11124223000 is an abundant number, since it is smaller than the sum of its proper divisors (17810195240).

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

11124223000 is a wasteful number, since it uses less digits than its factorization.

11124223000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19166 (or 19152 counting only the distinct ones).

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

Adding to 11124223000 its reverse (32242111), we get a palindrome (11156465111).

The spelling of 11124223000 in words is "eleven billion, one hundred twenty-four million, two hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 53 55 88 100 106 110 125 200 212 220 250 265 275 424 440 500 530 550 583 1000 1060 1100 1166 1325 1375 2120 2200 2332 2650 2750 2915 4664 5300 5500 5830 6625 10600 11000 11660 13250 14575 19081 23320 26500 29150 38162 53000 58300 72875 76324 95405 116600 145750 152648 190810 209891 291500 381620 419782 477025 583000 763240 839564 954050 1011293 1049455 1679128 1908100 2022586 2098910 2385125 3816200 4045172 4197820 4770250 5056465 5247275 8090344 8395640 9540500 10112930 10494550 11124223 19081000 20225860 20989100 22248446 25282325 26236375 40451720 41978200 44496892 50564650 52472750 55621115 88993784 101129300 104945500 111242230 126411625 202258600 209891000 222484460 252823250 278105575 444968920 505646500 556211150 1011293000 1112422300 1390527875 2224844600 2781055750 5562111500 11124223000