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10044200441 = 112233979091
BaseRepresentation
bin10010101101010111…
…00101010111111001
3221220222221020201202
421112223211113321
5131032303403231
64340402023545
7503622203132
oct112653452771
927828836652
1010044200441
114294764500
121b43947bb5
13c40bc4b92
146b3d8ac89
153dbbde5cb
hex256ae55f9

10044200441 has 24 divisors (see below), whose sum is σ = 11550622272. Its totient is φ = 8711128800.

The previous prime is 10044200407. The next prime is 10044200447. The reversal of 10044200441 is 14400244001.

It is a happy number.

It is not a de Polignac number, because 10044200441 - 214 = 10044184057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10044200447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1100306 + ... + 1109396.

It is an arithmetic number, because the mean of its divisors is an integer number (481275928).

Almost surely, 210044200441 is an apocalyptic number.

10044200441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10044200441 is a deficient number, since it is larger than the sum of its proper divisors (1506421831).

10044200441 is a wasteful number, since it uses less digits than its factorization.

10044200441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9533 (or 9522 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 10044200441 its reverse (14400244001), we get a palindrome (24444444442).

The spelling of 10044200441 in words is "ten billion, forty-four million, two hundred thousand, four hundred forty-one".

Divisors: 1 11 23 121 253 397 2783 4367 9091 9131 48037 100001 100441 209093 1100011 1104851 2300023 3609127 25300253 39700397 83009921 436704367 913109131 10044200441