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1100352052422 = 2327109137584809
BaseRepresentation
bin10000000000110010000…
…101111101110011000110
310220012012102111212212100
4100000302011331303012
5121012010111134142
62201254511132530
7142332515060310
oct20006205756306
93805172455770
101100352052422
11394725058207
12159309814146
137c9bb9cc70c
143b38614a7b0
151d951842b4c
hex1003217dcc6

1100352052422 has 96 divisors (see below), whose sum is σ = 2769753729600. Its totient is φ = 309227756544.

The previous prime is 1100352052411. The next prime is 1100352052427. The reversal of 1100352052422 is 2242502530011.

1100352052422 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 35 + 205 + 2 + 422 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100352052427) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1589154 + ... + 2173962.

It is an arithmetic number, because the mean of its divisors is an integer number (28851601350).

Almost surely, 21100352052422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100352052422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384876864800).

1100352052422 is an abundant number, since it is smaller than the sum of its proper divisors (1669401677178).

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

1100352052422 is a wasteful number, since it uses less digits than its factorization.

1100352052422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585070 (or 585067 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 1100352052422 its reverse (2242502530011), we get a palindrome (3342854582433).

The spelling of 1100352052422 in words is "one trillion, one hundred billion, three hundred fifty-two million, fifty-two thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 109 126 137 218 274 327 411 654 763 822 959 981 1233 1526 1918 1962 2289 2466 2877 4578 5754 6867 8631 13734 14933 17262 29866 44799 89598 104531 134397 209062 268794 313593 584809 627186 940779 1169618 1754427 1881558 3508854 4093663 5263281 8187326 10526562 12280989 24561978 36842967 63744181 73685934 80118833 127488362 160237666 191232543 240356499 382465086 446209267 480712998 560831831 573697629 721069497 892418534 1121663662 1147395258 1338627801 1442138994 1682495493 2677255602 3364990986 4015883403 5047486479 8031766806 8732952797 10094972958 17465905594 26198858391 52397716782 61130669579 78596575173 122261339158 157193150346 183392008737 366784017474 550176026211 1100352052422