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11032420300 = 225211171931051
BaseRepresentation
bin10100100011001010…
…10101111111001100
31001110212110000112021
422101211111333030
5140043244422200
65022423015524
7540252011446
oct122145257714
931425400467
1011032420300
114751571730
12217a89a5a4
13106a869165
1476930d496
1544884541a
hex291955fcc

11032420300 has 144 divisors (see below), whose sum is σ = 29109386880. Its totient is φ = 3576960000.

The previous prime is 11032420279. The next prime is 11032420303. The reversal of 11032420300 is 302423011.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11032420303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 339775 + ... + 370825.

It is an arithmetic number, because the mean of its divisors is an integer number (202148520).

Almost surely, 211032420300 is an apocalyptic number.

11032420300 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 11032420300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14554693440).

11032420300 is an abundant number, since it is smaller than the sum of its proper divisors (18076966580).

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

11032420300 is a wasteful number, since it uses less digits than its factorization.

11032420300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31112 (or 31105 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 11032420300 its reverse (302423011), we get a palindrome (11334843311).

The spelling of 11032420300 in words is "eleven billion, thirty-two million, four hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 10 11 17 19 20 22 25 34 38 44 50 55 68 76 85 95 100 110 170 187 190 209 220 275 323 340 374 380 418 425 475 550 646 748 836 850 935 950 1045 1100 1292 1615 1700 1870 1900 2090 3230 3553 3740 4180 4675 5225 6460 7106 8075 9350 10450 14212 16150 17765 18700 20900 31051 32300 35530 62102 71060 88825 124204 155255 177650 310510 341561 355300 527867 589969 621020 683122 776275 1055734 1179938 1366244 1552550 1707805 2111468 2359876 2639335 2949845 3105100 3415610 5278670 5806537 5899690 6489659 6831220 8539025 10029473 10557340 11613074 11799380 12979318 13196675 14749225 17078050 20058946 23226148 25958636 26393350 29032685 29498450 32448295 34156100 40117892 50147365 52786700 58065370 58996900 64896590 100294730 110324203 116130740 129793180 145163425 162241475 200589460 220648406 250736825 290326850 324482950 441296812 501473650 551621015 580653700 648965900 1002947300 1103242030 2206484060 2758105075 5516210150 11032420300