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11110120200 = 23325241914731
BaseRepresentation
bin10100101100011011…
…01111101100001000
31001200021122120202100
422112031233230020
5140223142321300
65034240233400
7542214314664
oct122615575410
931607576670
1011110120200
114791411823
1221a090b860
1310809a262a
147757778a4
15450592700
hex29636fb08

11110120200 has 144 divisors (see below), whose sum is σ = 37403074800. Its totient is φ = 2955427200.

The previous prime is 11110120199. The next prime is 11110120213. The reversal of 11110120200 is 202101111.

It is a happy number.

11110120200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 35 ways as a sum of consecutive naturals, for example, 746835 + ... + 761565.

It is an arithmetic number, because the mean of its divisors is an integer number (259743575).

Almost surely, 211110120200 is an apocalyptic number.

11110120200 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 11110120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18701537400).

11110120200 is an abundant number, since it is smaller than the sum of its proper divisors (26292954600).

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

11110120200 is a wasteful number, since it uses less digits than its factorization.

11110120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15172 (or 15160 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11110120200 its reverse (202101111), we get a palindrome (11312221311).

The spelling of 11110120200 in words is "eleven billion, one hundred ten million, one hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 419 450 600 838 900 1257 1676 1800 2095 2514 3352 3771 4190 5028 6285 7542 8380 10056 10475 12570 14731 15084 16760 18855 20950 25140 29462 30168 31425 37710 41900 44193 50280 58924 62850 73655 75420 83800 88386 94275 117848 125700 132579 147310 150840 176772 188550 220965 251400 265158 294620 353544 368275 377100 441930 530316 589240 662895 736550 754200 883860 1060632 1104825 1325790 1473100 1767720 2209650 2651580 2946200 3314475 4419300 5303160 6172289 6628950 8838600 12344578 13257900 18516867 24689156 26515800 30861445 37033734 49378312 55550601 61722890 74067468 92584335 111101202 123445780 148134936 154307225 185168670 222202404 246891560 277753005 308614450 370337340 444404808 462921675 555506010 617228900 740674680 925843350 1111012020 1234457800 1388765025 1851686700 2222024040 2777530050 3703373400 5555060100 11110120200