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11201004030 = 2351710122153
BaseRepresentation
bin10100110111010000…
…11100000111111110
31001220121122221221010
422123220130013332
5140414424112110
65051244220050
7544366651266
oct123350340776
931817587833
1011201004030
114828747127
12220723a626
131096773948
147838747a6
15458546020
hex29ba1c1fe

11201004030 has 96 divisors (see below), whose sum is σ = 28761689952. Its totient is φ = 2782105600.

The previous prime is 11201004029. The next prime is 11201004077. The reversal of 11201004030 is 3040010211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11201003997 and 11201004015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5201434 + ... + 5203586.

It is an arithmetic number, because the mean of its divisors is an integer number (299600937).

Almost surely, 211201004030 is an apocalyptic number.

11201004030 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 11201004030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14380844976).

11201004030 is an abundant number, since it is smaller than the sum of its proper divisors (17560685922).

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

11201004030 is a wasteful number, since it uses less digits than its factorization.

11201004030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2382 (or 2281 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 11201004030 its reverse (3040010211), we get a palindrome (14241014241).

The spelling of 11201004030 in words is "eleven billion, two hundred one million, four thousand, thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 101 102 170 202 255 303 505 510 606 1010 1515 1717 2153 3030 3434 4306 5151 6459 8585 10201 10302 10765 12918 17170 20402 21530 25755 30603 32295 36601 51005 51510 61206 64590 73202 102010 109803 153015 173417 183005 217453 219606 306030 346834 366010 434906 520251 549015 652359 867085 1040502 1087265 1098030 1304718 1734170 2174530 2601255 3261795 3696701 5202510 6523590 7393402 11090103 18483505 21962753 22180206 36967010 43925506 55450515 65888259 109813765 110901030 131776518 219627530 329441295 373366801 658882590 746733602 1120100403 1866834005 2240200806 3733668010 5600502015 11201004030