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110211220404432 = 2434712148503131
BaseRepresentation
bin11001000011110010001100…
…101001000111100011010000
3112110020002102110000001220000
4121003302030221013203100
5103421200034410420212
61030222200302050000
732133332532366120
oct3103621451074320
9473202373001800
10110211220404432
1132131352799304
121043b80a879900
134965b480977a4
141d303742a6c80
15cb1ca7c611dc
hex643c8ca478d0

110211220404432 has 100 divisors (see below), whose sum is σ = 364552281985056. Its totient is φ = 31488920112960.

The previous prime is 110211220404421. The next prime is 110211220404433. The reversal of 110211220404432 is 234404022112011.

110211220404432 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 1 + 1 + 220 + 4 + 0 + 4 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 110211220404396 and 110211220404405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110211220404433) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6074242494 + ... + 6074260637.

Almost surely, 2110211220404432 is an apocalyptic number.

110211220404432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110211220404432 is an abundant number, since it is smaller than the sum of its proper divisors (254341061580624).

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

110211220404432 is a wasteful number, since it uses less digits than its factorization.

110211220404432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12148503158 (or 12148503143 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 110211220404432 its reverse (234404022112011), we get a palindrome (344615242516443).

The spelling of 110211220404432 in words is "one hundred ten trillion, two hundred eleven billion, two hundred twenty million, four hundred four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 4536 9072 12148503131 24297006262 36445509393 48594012524 72891018786 85039521917 97188025048 109336528179 145782037572 170079043834 194376050096 218673056358 255118565751 291564075144 328009584537 340158087668 437346112716 510237131502 583128150288 656019169074 680316175336 765355697253 874692225432 984028753611 1020474263004 1312038338148 1360632350672 1530711394506 1749384450864 1968057507222 2040948526008 2296067091759 2624076676296 3061422789012 3936115014444 4081897052016 4592134183518 5248153352592 6122845578024 6888201275277 7872230028888 9184268367036 12245691156048 13776402550554 15744460057776 18368536734072 27552805101108 36737073468144 55105610202216 110211220404432