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101444369 = 13312111193
BaseRepresentation
bin1100000101111…
…10101100010001
321001212220111212
412002332230101
5201432204434
614022145505
72341156115
oct602765421
9231786455
10101444369
1152298724
1229b82295
131802b070
14d689745
158d8c8ce
hex60beb11

101444369 has 16 divisors (see below), whose sum is σ = 113401344. Its totient is φ = 90115200.

The previous prime is 101444359. The next prime is 101444383. The reversal of 101444369 is 963444101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101444369 - 220 = 100395793 is a prime.

It is a super-2 number, since 2×1014443692 = 20581920003616322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101444339) 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, 84437 + ... + 85629.

It is an arithmetic number, because the mean of its divisors is an integer number (7087584).

Almost surely, 2101444369 is an apocalyptic number.

It is an amenable number.

101444369 is a deficient number, since it is larger than the sum of its proper divisors (11956975).

101444369 is a wasteful number, since it uses less digits than its factorization.

101444369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448.

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 101444369 is about 10071.9595412214. The cubic root of 101444369 is about 466.3829320019.

The spelling of 101444369 in words is "one hundred one million, four hundred forty-four thousand, three hundred sixty-nine".

Divisors: 1 13 31 211 403 1193 2743 6541 15509 36983 85033 251723 480779 3272399 7803413 101444369