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111102400324032 = 26313102734332929
BaseRepresentation
bin11001010000110000001011…
…000110101110000111000000
3112120101021201022020122101220
4121100300023012232013000
5104030300203440332112
61032143423232355040
732254612023620415
oct3120601306560700
9476337638218356
10111102400324032
1132445299605157
12105644810a5a80
1349cbbb04499c0
141d6155611010c
15cca065ca098c
hex650c0b1ae1c0

111102400324032 has 112 divisors (see below), whose sum is σ = 316601510295840. Its totient is φ = 34182018367488.

The previous prime is 111102400324001. The next prime is 111102400324049. The reversal of 111102400324032 is 230423004201111.

It is a super-2 number, since 2×1111024003240322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 111102400323993 and 111102400324011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23474944 + ... + 27807872.

It is an arithmetic number, because the mean of its divisors is an integer number (2826799199070).

Almost surely, 2111102400324032 is an apocalyptic number.

111102400324032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111102400324032 is an abundant number, since it is smaller than the sum of its proper divisors (205499109971808).

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

111102400324032 is a wasteful number, since it uses less digits than its factorization.

111102400324032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4343230 (or 4343220 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 111102400324032 its reverse (230423004201111), we get a palindrome (341525404525143).

The spelling of 111102400324032 in words is "one hundred eleven trillion, one hundred two billion, four hundred million, three hundred twenty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 10273 20546 30819 41092 61638 82184 123276 133549 164368 246552 267098 328736 400647 493104 534196 657472 801294 986208 1068392 1602588 1972416 2136784 3205176 4273568 4332929 6410352 8547136 8665858 12820704 12998787 17331716 25641408 25997574 34663432 51995148 56328077 69326864 103990296 112656154 138653728 168984231 207980592 225312308 277307456 337968462 415961184 450624616 675936924 831922368 901249232 1351873848 1802498464 2703747696 3604996928 5407495392 10814990784 44512179617 89024359234 133536538851 178048718468 267073077702 356097436936 534146155404 578658335021 712194873872 1068292310808 1157316670042 1424389747744 1735975005063 2136584621616 2314633340084 2848779495488 3471950010126 4273169243232 4629266680168 6943900020252 8546338486464 9258533360336 13887800040504 18517066720672 27775600081008 37034133441344 55551200162016 111102400324032