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1100113112232 = 2332101349433469
BaseRepresentation
bin10000000000100011110…
…110011110110010101000
310220011120202220110112200
4100000203312132302220
5121011012424042412
62201215053540200
7142323554110551
oct20004366366250
93804522813480
101100113112232
11394612198982
121592617a4660
137c9813600a4
143b36250d328
151d93a8959dc
hex10023d9eca8

1100113112232 has 96 divisors (see below), whose sum is σ = 3017601405000. Its totient is φ = 362032473600.

The previous prime is 1100113112213. The next prime is 1100113112257. The reversal of 1100113112232 is 2322113110011.

1100113112232 is a `hidden beast` number, since 110 + 0 + 11 + 311 + 2 + 232 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1083193866756 + 16919245476 = 1040766^2 + 130074^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2321194 + ... + 2754662.

Almost surely, 21100113112232 is an apocalyptic number.

1100113112232 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 1100113112232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508800702500).

1100113112232 is an abundant number, since it is smaller than the sum of its proper divisors (1917488292768).

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

1100113112232 is a wasteful number, since it uses less digits than its factorization.

1100113112232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433931 (or 433924 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1100113112232 its reverse (2322113110011), we get a palindrome (3422226222243).

The spelling of 1100113112232 in words is "one trillion, one hundred billion, one hundred thirteen million, one hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 349 404 606 698 808 909 1047 1212 1396 1818 2094 2424 2792 3141 3636 4188 6282 7272 8376 12564 25128 35249 70498 105747 140996 211494 281992 317241 422988 433469 634482 845976 866938 1268964 1300407 1733876 2537928 2600814 3467752 3901221 5201628 7802442 10403256 15604884 31209768 43780369 87560738 131341107 151280681 175121476 262682214 302561362 350242952 394023321 453842043 525364428 605122724 788046642 907684086 1050728856 1210245448 1361526129 1576093284 1815368172 2723052258 3152186568 3630736344 5446104516 10892209032 15279348781 30558697562 45838046343 61117395124 91676092686 122234790248 137514139029 183352185372 275028278058 366704370744 550056556116 1100113112232