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1100010996 = 2233721091907
BaseRepresentation
bin100000110010000…
…1101010111110100
32211122212100102000
41001210031113310
54223100322441
6301053015300
736154640100
oct10144152764
92748770360
101100010996
11514a225a7
12268484530
13146b859a6
14a6142900
15668892b6
hex4190d5f4

1100010996 has 144 divisors (see below), whose sum is σ = 3349684800. Its totient is φ = 311242176.

The previous prime is 1100010973. The next prime is 1100011013. The reversal of 1100010996 is 6990100011.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 575875 + ... + 577781.

It is an arithmetic number, because the mean of its divisors is an integer number (23261700).

Almost surely, 21100010996 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 1100010996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674842400).

1100010996 is an abundant number, since it is smaller than the sum of its proper divisors (2249673804).

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

1100010996 is a wasteful number, since it uses less digits than its factorization.

1100010996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2043 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 27.

The square root of 1100010996 is about 33166.4136740770. The cubic root of 1100010996 is about 1032.2835551274.

The spelling of 1100010996 in words is "one billion, one hundred million, ten thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 109 126 147 189 196 218 252 294 327 378 436 441 588 654 756 763 882 981 1308 1323 1526 1764 1907 1962 2289 2646 2943 3052 3814 3924 4578 5292 5341 5721 5886 6867 7628 9156 10682 11442 11772 13349 13734 16023 17163 20601 21364 22884 26698 27468 32046 34326 40047 41202 48069 51489 53396 64092 68652 80094 82404 93443 96138 102978 120141 144207 160188 186886 192276 205956 207863 240282 280329 288414 360423 373772 415726 480564 560658 576828 623589 720846 831452 840987 1121316 1247178 1441692 1455041 1681974 1870767 2494356 2522961 2910082 3363948 3741534 4365123 5045922 5612301 5820164 7483068 8730246 10091844 10185287 11224602 13095369 17460492 20370574 22449204 26190738 30555861 39286107 40741148 52381476 61111722 78572214 91667583 122223444 157144428 183335166 275002749 366670332 550005498 1100010996