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10044510105 = 357313478893
BaseRepresentation
bin10010101101011001…
…10000111110011001
3221221000111222111210
421112230300332121
5131032343310410
64340412413333
7503624633010
oct112654607631
927830458453
1010044510105
114294956123
121b43a77249
13c40ca2b06
146b402ba77
153dbc51220
hex256b30f99

10044510105 has 64 divisors (see below), whose sum is σ = 19016368128. Its totient is φ = 4430350080.

The previous prime is 10044510103. The next prime is 10044510149. The reversal of 10044510105 is 50101544001.

It is not a de Polignac number, because 10044510105 - 21 = 10044510103 is a prime.

It is a super-2 number, since 2×100445101052 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (10044510103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1125039 + ... + 1133931.

It is an arithmetic number, because the mean of its divisors is an integer number (297130752).

Almost surely, 210044510105 is an apocalyptic number.

10044510105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10044510105 is a deficient number, since it is larger than the sum of its proper divisors (8971858023).

10044510105 is a wasteful number, since it uses less digits than its factorization.

10044510105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9286.

The product of its (nonzero) digits is 400, while the sum is 21.

The spelling of 10044510105 in words is "ten billion, forty-four million, five hundred ten thousand, one hundred five".

Divisors: 1 3 5 7 15 21 31 35 93 105 155 217 347 465 651 1041 1085 1735 2429 3255 5205 7287 8893 10757 12145 26679 32271 36435 44465 53785 62251 75299 133395 161355 186753 225897 275683 311255 376495 827049 933765 1129485 1378415 1929781 3085871 4135245 5789343 9257613 9648905 15429355 21601097 28946715 46288065 64803291 95662001 108005485 286986003 324016455 478310005 669634007 1434930015 2008902021 3348170035 10044510105