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1100200001000 = 235310720115113
BaseRepresentation
bin10000000000101001000…
…001111011110111101000
310220011210211101212112012
4100000221001323313220
5121011202200013000
62201231440135052
7142325660464562
oct20005101736750
93804724355465
101100200001000
11394657244781
12159286907488
137c996362b69
143b36dc8a332
151d94330a735
hex1002907bde8

1100200001000 has 128 divisors (see below), whose sum is σ = 2600329080960. Its totient is φ = 435665088000.

The previous prime is 1100200000987. The next prime is 1100200001011. The reversal of 1100200001000 is 1000020011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (5).

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, 215174444 + ... + 215179556.

It is an arithmetic number, because the mean of its divisors is an integer number (20315070945).

Almost surely, 21100200001000 is an apocalyptic number.

1100200001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100200001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300164540480).

1100200001000 is an abundant number, since it is smaller than the sum of its proper divisors (1500129079960).

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

1100200001000 is a wasteful number, since it uses less digits than its factorization.

1100200001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7252 (or 7238 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 1100200001000 its reverse (1000020011), we get a palindrome (1101200021011).

The spelling of 1100200001000 in words is "one trillion, one hundred billion, two hundred million, one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 107 125 200 214 250 428 500 535 856 1000 1070 2011 2140 2675 4022 4280 5113 5350 8044 10055 10226 10700 13375 16088 20110 20452 21400 25565 26750 40220 40904 50275 51130 53500 80440 100550 102260 107000 127825 201100 204520 215177 251375 255650 402200 430354 502750 511300 547091 639125 860708 1005500 1022600 1075885 1094182 1278250 1721416 2011000 2151770 2188364 2556500 2735455 4303540 4376728 5113000 5379425 5470910 8607080 10282243 10758850 10941820 13677275 20564486 21517700 21883640 26897125 27354550 41128972 43035400 51411215 53794250 54709100 68386375 82257944 102822430 107588500 109418200 136772750 205644860 215177000 257056075 273545500 411289720 514112150 547091000 1028224300 1100200001 1285280375 2056448600 2200400002 2570560750 4400800004 5141121500 5501000005 8801600008 10282243000 11002000010 22004000020 27505000025 44008000040 55010000050 110020000100 137525000125 220040000200 275050000250 550100000500 1100200001000