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110000011002 = 237234710722643
BaseRepresentation
bin110011001110010000…
…0101111011011111010
3101111221002102112110120
41212130200233123322
53300240000323002
6122311105554110
710642621444350
oct1463440573372
9344832375416
10110000011002
1142718158402
121939a945936
13a4b0501c0b
1454771c77d0
152cdc0eacbc
hex199c82f6fa

110000011002 has 128 divisors (see below), whose sum is σ = 270458486784. Its totient is φ = 29146231488.

The previous prime is 110000010961. The next prime is 110000011007. The reversal of 110000011002 is 200110000011.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is not an unprimeable number, because it can be changed into a prime (110000011007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4846693 + ... + 4869335.

It is an arithmetic number, because the mean of its divisors is an integer number (2112956928).

Almost surely, 2110000011002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110000011002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135229243392).

110000011002 is an abundant number, since it is smaller than the sum of its proper divisors (160458475782).

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

110000011002 is a wasteful number, since it uses less digits than its factorization.

110000011002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22832.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 110000011002 its reverse (200110000011), we get a palindrome (310110011013).

The spelling of 110000011002 in words is "one hundred ten billion, eleven thousand, two".

Divisors: 1 2 3 6 7 14 21 23 42 46 47 69 94 107 138 141 161 214 282 321 322 329 483 642 658 749 966 987 1081 1498 1974 2162 2247 2461 3243 4494 4922 5029 6486 7383 7567 10058 14766 15087 15134 17227 22643 22701 30174 34454 35203 45286 45402 51681 67929 70406 103362 105609 115667 135858 158501 211218 231334 317002 347001 475503 520789 694002 809669 951006 1041578 1064221 1562367 1619338 2128442 2422801 2429007 3124734 3192663 3645523 4845602 4858014 6385326 7268403 7291046 7449547 10936569 14536806 14899094 16959607 21873138 22348641 24477083 33919214 44697282 48954166 50878821 55724423 73431249 101757642 111448846 113871647 146862498 167173269 171339581 227743294 334346538 341614941 342679162 390070961 514018743 683229882 780141922 797101529 1028037486 1170212883 1594203058 2340425766 2391304587 2619047881 4782609174 5238095762 7857143643 15714287286 18333335167 36666670334 55000005501 110000011002