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1105211385 = 375531907
BaseRepresentation
bin100000111100000…
…0010111111111001
32212000122120000000
41001320002333321
54230413231020
6301400303213
736250066425
oct10170027771
92760576000
101105211385
11517954743
1226a171b09
13147c86a45
14a6ad7b85
1567065090
hex41e02ff9

1105211385 has 64 divisors (see below), whose sum is σ = 2027669760. Its totient is φ = 578021184.

The previous prime is 1105211369. The next prime is 1105211407. The reversal of 1105211385 is 5831125011.

1105211385 is a `hidden beast` number, since 1 + 1 + 0 + 521 + 138 + 5 = 666.

It is not a de Polignac number, because 1105211385 - 24 = 1105211369 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 578602 + ... + 580508.

It is an arithmetic number, because the mean of its divisors is an integer number (31682340).

Almost surely, 21105211385 is an apocalyptic number.

1105211385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1105211385 is a deficient number, since it is larger than the sum of its proper divisors (922458375).

1105211385 is an frugal number, since it uses more digits than its factorization.

1105211385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1986 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The square root of 1105211385 is about 33244.7196559093. The cubic root of 1105211385 is about 1033.9077323897.

Adding to 1105211385 its reverse (5831125011), we get a palindrome (6936336396).

The spelling of 1105211385 in words is "one billion, one hundred five million, two hundred eleven thousand, three hundred eighty-five".

Divisors: 1 3 5 9 15 27 45 53 81 135 159 243 265 405 477 729 795 1215 1431 1907 2187 2385 3645 4293 5721 7155 9535 10935 12879 17163 21465 28605 38637 51489 64395 85815 101071 115911 154467 193185 257445 303213 463401 505355 579555 772335 909639 1390203 1516065 2317005 2728917 4170609 4548195 6951015 8186751 13644585 20853045 24560253 40933755 73680759 122801265 221042277 368403795 1105211385