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1001100111108 = 2231947149626987
BaseRepresentation
bin11101001000101100011…
…01110110110100000100
310112201000101110212012220
432210112031312310010
5112400223112023413
62043522105412340
7132220123354026
oct16442615666404
93481011425186
101001100111108
11356622a06729
1214202a49a0b0
1373532187c66
143664c5b4016
151b093120223
hexe916376d04

1001100111108 has 96 divisors (see below), whose sum is σ = 2528015616000. Its totient is φ = 307333489536.

The previous prime is 1001100111107. The next prime is 1001100111113. The reversal of 1001100111108 is 8011110011001.

It is not an unprimeable number, because it can be changed into a prime (1001100111107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1283191 + ... + 1910177.

It is an arithmetic number, because the mean of its divisors is an integer number (26333496000).

Almost surely, 21001100111108 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 1001100111108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264007808000).

1001100111108 is an abundant number, since it is smaller than the sum of its proper divisors (1526915504892).

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

1001100111108 is a wasteful number, since it uses less digits than its factorization.

1001100111108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627209 (or 627207 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 1001100111108 its reverse (8011110011001), we get a palindrome (9012210122109).

The spelling of 1001100111108 in words is "one trillion, one billion, one hundred million, one hundred eleven thousand, one hundred eight".

Divisors: 1 2 3 4 6 12 19 38 47 57 76 94 114 141 149 188 228 282 298 447 564 596 893 894 1786 1788 2679 2831 3572 5358 5662 7003 8493 10716 11324 14006 16986 21009 28012 33972 42018 84036 133057 266114 399171 532228 626987 798342 1253974 1596684 1880961 2507948 3761922 7523844 11912753 23825506 29468389 35738259 47651012 58936778 71476518 88405167 93421063 117873556 142953036 176810334 186842126 280263189 353620668 373684252 559899391 560526378 1119798782 1121052756 1679698173 1775000197 2239597564 3359396346 3550000394 4390789961 5325000591 6718792692 7100000788 8781579922 10650001182 13172369883 17563159844 21300002364 26344739766 52689479532 83425009259 166850018518 250275027777 333700037036 500550055554 1001100111108