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10143511209 = 32131923161127
BaseRepresentation
bin10010111001001100…
…11011001010101001
3222011220210202111100
421130212123022221
5131233214324314
64354310352013
7506236264656
oct113446331251
928156722440
1010143511209
114335825117
121b7105b609
13c58656a50
146c323cc2d
153e57a9c09
hex25c99b2a9

10143511209 has 144 divisors (see below), whose sum is σ = 17609539584. Its totient is φ = 5584723200.

The previous prime is 10143511201. The next prime is 10143511223. The reversal of 10143511209 is 90211534101.

It is a happy number.

10143511209 is a `hidden beast` number, since 1 + 0 + 143 + 511 + 2 + 0 + 9 = 666.

10143511209 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10143511209 - 23 = 10143511201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10143511201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 79870104 + ... + 79870230.

Almost surely, 210143511209 is an apocalyptic number.

10143511209 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

10143511209 is a deficient number, since it is larger than the sum of its proper divisors (7466028375).

10143511209 is a wasteful number, since it uses less digits than its factorization.

10143511209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 10143511209 in words is "ten billion, one hundred forty-three million, five hundred eleven thousand, two hundred nine".

Divisors: 1 3 9 13 19 31 39 57 61 93 117 127 171 183 247 279 361 381 403 549 589 741 793 1083 1143 1159 1209 1651 1767 1891 2223 2379 2413 3249 3477 3627 3937 4693 4953 5301 5673 7137 7239 7657 7747 10431 11191 11811 14079 14859 15067 17019 21717 22021 22971 23241 24583 31369 33573 35433 35929 42237 45201 45847 51181 66063 68913 69723 73749 74803 94107 100711 100719 107787 135603 137541 145483 147193 153543 198189 221247 224409 240157 282321 286273 302133 323361 412623 436449 441579 460629 467077 596011 673227 682651 720471 858819 906399 972439 1309347 1324737 1401231 1421257 1788033 1913509 2047953 2161413 2576457 2796667 2917317 3122041 4203693 4263771 4562983 5364099 5740527 6143859 8390001 8751951 8874463 9366123 12791313 13688949 17221581 18476341 25170003 26623389 28098369 36356671 41066847 55429023 59318779 79870167 86696677 109070013 166287069 177956337 260090031 327210039 533869011 780270093 1127056801 3381170403 10143511209