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11030113200 = 2435210638647
BaseRepresentation
bin10100100010111001…
…00010101110110000
31001110201002210210010
422101130202232300
5140042202110300
65022301334520
7540223262301
oct122134425660
931421083703
1011030113200
114750236337
122179b67440
13106a23c002
14768cac7a8
1544853ba50
hex291722bb0

11030113200 has 120 divisors (see below), whose sum is σ = 35370458368. Its totient is φ = 2938256640.

The previous prime is 11030113183. The next prime is 11030113207. The reversal of 11030113200 is 231103011.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (11030113207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1271277 + ... + 1279923.

Almost surely, 211030113200 is an apocalyptic number.

11030113200 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 11030113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17685229184).

11030113200 is an abundant number, since it is smaller than the sum of its proper divisors (24340345168).

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

11030113200 is a wasteful number, since it uses less digits than its factorization.

11030113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9731 (or 9720 counting only the distinct ones).

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

Adding to 11030113200 its reverse (231103011), we get a palindrome (11261216211).

The spelling of 11030113200 in words is "eleven billion, thirty million, one hundred thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1063 1200 2126 3189 4252 5315 6378 8504 8647 10630 12756 15945 17008 17294 21260 25512 25941 26575 31890 34588 42520 43235 51024 51882 53150 63780 69176 79725 85040 86470 103764 106300 127560 129705 138352 159450 172940 207528 212600 216175 255120 259410 318900 345880 415056 425200 432350 518820 637800 648525 691760 864700 1037640 1275600 1297050 1729400 2075280 2594100 3458800 5188200 9191761 10376400 18383522 27575283 36767044 45958805 55150566 73534088 91917610 110301132 137876415 147068176 183835220 220602264 229794025 275752830 367670440 441204528 459588050 551505660 689382075 735340880 919176100 1103011320 1378764150 1838352200 2206022640 2757528300 3676704400 5515056600 11030113200