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11110002001000 = 2353714291110667
BaseRepresentation
bin1010000110101011111110…
…1110010000010001101000
31110100002212010211022112121
42201222333232100101220
52424011241003013000
635343510420121024
72224446130566520
oct241527756202150
943302763738477
1011110002001000
1135a37a8546441
1212b5239236174
13627890171986
142a5a26b1a680
15143ee3a49b1a
hexa1abfb90468

11110002001000 has 128 divisors (see below), whose sum is σ = 29732138092800. Its totient is φ = 3806474515200.

The previous prime is 11110002000941. The next prime is 11110002001039. The reversal of 11110002001000 is 10020001111.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9447667 + ... + 10558333.

It is an arithmetic number, because the mean of its divisors is an integer number (232282328850).

Almost surely, 211110002001000 is an apocalyptic number.

11110002001000 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 11110002001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14866069046400).

11110002001000 is an abundant number, since it is smaller than the sum of its proper divisors (18622136091800).

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

11110002001000 is a wasteful number, since it uses less digits than its factorization.

11110002001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112124 (or 1112110 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 11110002001000 its reverse (10020001111), we get a palindrome (11120022002111).

The spelling of 11110002001000 in words is "eleven trillion, one hundred ten billion, two million, one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1429 1750 2858 3500 5716 7000 7145 10003 11432 14290 20006 28580 35725 40012 50015 57160 71450 80024 100030 142900 178625 200060 250075 285800 357250 400120 500150 714500 1000300 1110667 1250375 1429000 2000600 2221334 2500750 4442668 5001500 5553335 7774669 8885336 10003000 11106670 15549338 22213340 27766675 31098676 38873345 44426680 55533350 62197352 77746690 111066700 138833375 155493380 194366725 222133400 277666750 310986760 388733450 555333500 777466900 971833625 1110667000 1554933800 1587143143 1943667250 3174286286 3887334500 6348572572 7774669000 7935715715 11110002001 12697145144 15871431430 22220004002 31742862860 39678578575 44440008004 55550010005 63485725720 79357157150 88880016008 111100020010 158714314300 198392892875 222200040020 277750050025 317428628600 396785785750 444400080040 555500100050 793571571500 1111000200100 1388750250125 1587143143000 2222000400200 2777500500250 5555001000500 11110002001000