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110691441 = 34721672
BaseRepresentation
bin1101001100100…
…00010001110001
321201021201010000
412212100101301
5211314111231
614552300213
72512601400
oct646202161
9251251100
10110691441
1157534133
12310a1669
1319c17cc3
14109b5637
159ab76e6
hex6990471

110691441 has 45 divisors (see below), whose sum is σ = 193509129. Its totient is φ = 62873496.

The previous prime is 110691419. The next prime is 110691461. The reversal of 110691441 is 144196011.

The square root of 110691441 is 10521.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 110691441 - 217 = 110560369 is a prime.

It is a super-2 number, since 2×1106914412 = 24505190221312962, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (110691461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 662740 + ... + 662906.

Almost surely, 2110691441 is an apocalyptic number.

110691441 is the 10521-st square number.

110691441 is the 5261-st centered octagonal number.

It is an amenable number.

110691441 is a deficient number, since it is larger than the sum of its proper divisors (82817688).

110691441 is an frugal number, since it uses more digits than its factorization.

110691441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The cubic root of 110691441 is about 480.1438240887.

The spelling of 110691441 in words is "one hundred ten million, six hundred ninety-one thousand, four hundred forty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 167 189 441 501 567 1169 1323 1503 3507 3969 4509 8183 10521 13527 24549 27889 31563 73647 83667 94689 195223 220941 251001 585669 662823 753003 1366561 1757007 2259009 4099683 5271021 12299049 15813063 36897147 110691441