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10100441 = 134761271
BaseRepresentation
bin100110100001…
…111011011001
3201000011012102
4212201323121
510041203231
61000253145
7151565231
oct46417331
921004172
1010100441
11577967a
1234711b5
1321284c0
1414accc1
15d47acb
hex9a1ed9

10100441 has 16 divisors (see below), whose sum is σ = 11332608. Its totient is φ = 8942400.

The previous prime is 10100429. The next prime is 10100443. The reversal of 10100441 is 14400101.

It is a cyclic number.

It is not a de Polignac number, because 10100441 - 222 = 5906137 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10100443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37136 + ... + 37406.

It is an arithmetic number, because the mean of its divisors is an integer number (708288).

Almost surely, 210100441 is an apocalyptic number.

It is an amenable number.

10100441 is a deficient number, since it is larger than the sum of its proper divisors (1232167).

10100441 is a wasteful number, since it uses less digits than its factorization.

10100441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392.

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 10100441 is about 3178.1190978313. The cubic root of 10100441 is about 216.1623793287.

Adding to 10100441 its reverse (14400101), we get a palindrome (24500542).

The spelling of 10100441 in words is "ten million, one hundred thousand, four hundred forty-one".

Divisors: 1 13 47 61 271 611 793 2867 3523 12737 16531 37271 165581 214903 776957 10100441