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110200133412 = 22324174661337
BaseRepresentation
bin110011010100001110…
…0001001011100100100
3101112110000222210210200
41212220130021130210
53301142213232122
6122343015150500
710650601451535
oct1465034113444
9345400883720
10110200133412
1142810114326
1219435975430
13a512accb45
1454959dc68c
152cee97b5ac
hex19a8709724

110200133412 has 36 divisors (see below), whose sum is σ = 285355633836. Its totient is φ = 35837441280.

The previous prime is 110200133401. The next prime is 110200133467. The reversal of 110200133412 is 214331002011.

110200133412 is a `hidden beast` number, since 110 + 200 + 13 + 341 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42504419556 + 67695713856 = 206166^2 + 260184^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37329193 + ... + 37332144.

Almost surely, 2110200133412 is an apocalyptic number.

110200133412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110200133412 is an abundant number, since it is smaller than the sum of its proper divisors (175155500424).

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

110200133412 is a wasteful number, since it uses less digits than its factorization.

110200133412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74661388 (or 74661383 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 110200133412 its reverse (214331002011), we get a palindrome (324531135423).

The spelling of 110200133412 in words is "one hundred ten billion, two hundred million, one hundred thirty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 74661337 149322674 223984011 298645348 447968022 671952033 895936044 1343904066 2687808132 3061114817 6122229634 9183344451 12244459268 18366688902 27550033353 36733377804 55100066706 110200133412