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100010220108 = 223172296733181
BaseRepresentation
bin101110100100100010…
…0101101101001001100
3100120010212212120121020
41131021010231221030
53114310104020413
6113535530034140
710140226562511
oct1351104555114
9316125776536
10100010220108
1139461186677
1217471278950
13957a97a546
144baa561308
1529050a7c23
hex174912da4c

100010220108 has 96 divisors (see below), whose sum is σ = 248609914560. Its totient is φ = 31182520320.

The previous prime is 100010220083. The next prime is 100010220127. The reversal of 100010220108 is 801022010001.

100010220108 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 31438278 + ... + 31441458.

It is an arithmetic number, because the mean of its divisors is an integer number (2589686610).

Almost surely, 2100010220108 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100010220108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124304957280).

100010220108 is an abundant number, since it is smaller than the sum of its proper divisors (148599694452).

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

100010220108 is a wasteful number, since it uses less digits than its factorization.

100010220108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4107 (or 4105 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100010220108 its reverse (801022010001), we get a palindrome (901032230109).

The spelling of 100010220108 in words is "one hundred billion, ten million, two hundred twenty thousand, one hundred eight".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 229 458 673 687 916 1346 1374 2019 2692 2748 3181 3893 4038 6362 7786 8076 9543 11441 11679 12724 15572 19086 22882 23358 34323 38172 45764 46716 54077 68646 108154 137292 154117 162231 216308 308234 324462 462351 616468 648924 728449 924702 1456898 1849404 2140813 2185347 2619989 2913796 4281626 4370694 5239978 6422439 7859967 8563252 8741388 10479956 12383633 12844878 15719934 24767266 25689756 31439868 36393821 37150899 49534532 72787642 74301798 109181463 145575284 148603596 218362926 436725852 490246177 980492354 1470738531 1960984708 2941477062 5882954124 8334185009 16668370018 25002555027 33336740036 50005110054 100010220108