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11303230032 = 2432234772613
BaseRepresentation
bin10101000011011100…
…11001101001010000
31002011202000120122100
422201232121221100
5141122111330112
65105335240400
7550050604263
oct124156315120
932152016570
1011303230032
114880419026
122235519100
1310b19b66c3
14793284cda
154624da2dc
hex2a1b99a50

11303230032 has 120 divisors (see below), whose sum is σ = 33711485184. Its totient is φ = 3527200512.

The previous prime is 11303230021. The next prime is 11303230091. The reversal of 11303230032 is 23003230311.

It is a super-3 number, since 3×113032300323 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11303229987 and 11303230014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119358 + ... + 191970.

Almost surely, 211303230032 is an apocalyptic number.

11303230032 is a gapful number since it is divisible by the number (12) 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 11303230032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16855742592).

11303230032 is an abundant number, since it is smaller than the sum of its proper divisors (22408255152).

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

11303230032 is a wasteful number, since it uses less digits than its factorization.

11303230032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72697 (or 72688 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 11303230032 its reverse (23003230311), we get a palindrome (34306460343).

The spelling of 11303230032 in words is "eleven billion, three hundred three million, two hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 47 48 69 72 92 94 138 141 144 184 188 207 276 282 368 376 414 423 552 564 752 828 846 1081 1104 1128 1656 1692 2162 2256 3243 3312 3384 4324 6486 6768 8648 9729 12972 17296 19458 25944 38916 51888 72613 77832 145226 155664 217839 290452 435678 580904 653517 871356 1161808 1307034 1670099 1742712 2614068 3340198 3412811 3485424 5010297 5228136 6680396 6825622 10020594 10238433 10456272 13360792 13651244 15030891 20041188 20476866 26721584 27302488 30061782 30715299 40082376 40953732 54604976 60123564 61430598 78494653 80164752 81907464 120247128 122861196 156989306 163814928 235483959 240494256 245722392 313978612 470967918 491444784 627957224 706451877 941935836 1255914448 1412903754 1883871672 2825807508 3767743344 5651615016 11303230032