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107229441 = 31137531657
BaseRepresentation
bin1100110010000…
…11000100000001
321110202211010210
412121003010001
5204422320231
614350144333
72441302164
oct631030401
9243684123
10107229441
115558a080
122bab20a9
13192a5297
1410353adb
159631a46
hex6643101

107229441 has 32 divisors (see below), whose sum is σ = 163306368. Its totient is φ = 62000640.

The previous prime is 107229439. The next prime is 107229461. The reversal of 107229441 is 144922701.

It is not a de Polignac number, because 107229441 - 21 = 107229439 is a prime.

It is a super-2 number, since 2×1072294412 = 22996306034344962, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107229399 and 107229408.

It is not an unprimeable number, because it can be changed into a prime (107229461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63885 + ... + 65541.

It is an arithmetic number, because the mean of its divisors is an integer number (5103324).

Almost surely, 2107229441 is an apocalyptic number.

107229441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

107229441 is a deficient number, since it is larger than the sum of its proper divisors (56076927).

107229441 is a wasteful number, since it uses less digits than its factorization.

107229441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1761.

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 107229441 is about 10355.1649431576. The cubic root of 107229441 is about 475.0850314994.

The spelling of 107229441 in words is "one hundred seven million, two hundred twenty-nine thousand, four hundred forty-one".

Divisors: 1 3 11 33 37 53 111 159 407 583 1221 1657 1749 1961 4971 5883 18227 21571 54681 61309 64713 87821 183927 263463 674399 966031 2023197 2898093 3249377 9748131 35743147 107229441