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11066317002 = 23213292531061
BaseRepresentation
bin10100100111001101…
…01001100011001010
31001120020020011001200
422103212221203022
5140130434121002
65030033325030
7541143066606
oct122346514312
931506204050
1011066317002
114769713834
12218a106776
1310748a6990
1476da14506
1544b7ddb1c
hex2939a98ca

11066317002 has 144 divisors (see below), whose sum is σ = 27272758968. Its totient is φ = 3222535680.

The previous prime is 11066317001. The next prime is 11066317027. The reversal of 11066317002 is 20071366011.

It can be written as a sum of positive squares in 12 ways, for example, as 1813993281 + 9252323721 = 42591^2 + 96189^2 .

It is not an unprimeable number, because it can be changed into a prime (11066317001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10429552 + ... + 10430612.

Almost surely, 211066317002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11066317002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13636379484).

11066317002 is an abundant number, since it is smaller than the sum of its proper divisors (16206441966).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11066317002 is a wasteful number, since it uses less digits than its factorization.

11066317002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 11066317002 in words is "eleven billion, sixty-six million, three hundred seventeen thousand, two".

Divisors: 1 2 3 6 9 13 18 26 29 39 53 58 78 87 106 117 159 174 234 261 318 377 477 522 689 754 841 954 1061 1131 1378 1537 1682 2067 2122 2262 2523 3074 3183 3393 4134 4611 5046 6201 6366 6786 7569 9222 9549 10933 12402 13793 13833 15138 19098 19981 21866 27586 27666 30769 32799 39962 41379 44573 56233 59943 61538 65598 82758 89146 92307 98397 112466 119886 124137 133719 168699 179829 184614 196794 248274 267438 276921 337398 359658 399997 401157 506097 553842 579449 731029 799994 802314 892301 1012194 1158898 1199991 1462058 1630757 1738347 1784602 2193087 2399982 2676903 3261514 3476694 3599973 4386174 4892271 5215041 5353806 6579261 7199946 8030709 9784542 10430082 11599913 13158522 14676813 16061418 21199841 23199826 29353626 34799739 42399682 47291953 63599523 69599478 94583906 104399217 127199046 141875859 190798569 208798434 283751718 381597138 425627577 614795389 851255154 1229590778 1844386167 3688772334 5533158501 11066317002