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111034420432 = 241317432273217
BaseRepresentation
bin110011101101000101…
…0101100110011010000
3101121121011211222102221
41213122022230303100
53304344302423212
6123001500550424
711010352000315
oct1473212546320
9347534758387
10111034420432
11430a9043531
1219629252414
13a6168c90c0
145534730d0c
152d4cd27807
hex19da2accd0

111034420432 has 160 divisors (see below), whose sum is σ = 252194608512. Its totient is φ = 46888353792.

The previous prime is 111034420379. The next prime is 111034420463. The reversal of 111034420432 is 234024430111.

It is a junction number, because it is equal to n+sod(n) for n = 111034420397 and 111034420406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34513288 + ... + 34516504.

Almost surely, 2111034420432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111034420432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126097304256).

111034420432 is an abundant number, since it is smaller than the sum of its proper divisors (141160188080).

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

111034420432 is a wasteful number, since it uses less digits than its factorization.

111034420432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3525 (or 3519 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 111034420432 its reverse (234024430111), we get a palindrome (345058850543).

The spelling of 111034420432 in words is "one hundred eleven billion, thirty-four million, four hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 17 26 34 43 52 68 86 104 136 172 208 221 227 272 344 442 454 559 688 731 884 908 1118 1462 1768 1816 2236 2924 2951 3217 3536 3632 3859 4472 5848 5902 6434 7718 8944 9503 9761 11696 11804 12868 15436 19006 19522 23608 25736 30872 38012 39044 41821 47216 50167 51472 54689 61744 76024 78088 83642 100334 109378 126893 138331 152048 156176 165937 167284 200668 218756 253786 276662 331874 334568 401336 437512 507572 553324 663748 669136 710957 730259 802672 875024 1015144 1106648 1327496 1421914 1460518 1798303 2030288 2157181 2213296 2351627 2654992 2843828 2921036 3596606 4314362 4703254 5687656 5842072 7193212 8628724 9406508 9493367 11375312 11684144 12414403 14386424 17257448 18813016 18986734 24828806 28772848 30571151 31401137 34514896 37626032 37973468 49657612 61142302 62802274 75946936 99315224 122284604 125604548 151893872 161387239 198630448 244569208 251209096 322774478 408214781 489138416 502418192 533819329 645548956 816429562 1067638658 1291097912 1632859124 2135277316 2582195824 3265718248 4270554632 6531436496 6939651277 8541109264 13879302554 27758605108 55517210216 111034420432