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20110200 = 23352112277
BaseRepresentation
bin100110010110…
…1101101111000
31101211201000020
41030231231320
520122011300
61555010440
7332635215
oct114555570
941751006
1020110200
1110396100
126899a20
134221636
142956b0c
151b738a0
hex132db78

20110200 has 144 divisors (see below), whose sum is σ = 68771640. Its totient is φ = 4857600.

The previous prime is 20110183. The next prime is 20110217. The reversal of 20110200 is 201102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20110183) and next prime (20110217).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 72462 + ... + 72738.

Almost surely, 220110200 is an apocalyptic number.

20110200 is a gapful number since it is divisible by the number (20) 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 20110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34385820).

20110200 is an abundant number, since it is smaller than the sum of its proper divisors (48661440).

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

20110200 is a wasteful number, since it uses less digits than its factorization.

20110200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 20110200 is about 4484.4397643407. The cubic root of 20110200 is about 271.9393968212.

Adding to 20110200 its reverse (201102), we get a palindrome (20311302).

Multiplying 20110200 by its reverse (201102), we get a square (4044201440400 = 20110202).

20110200 divided by its reverse (201102) gives a square (100 = 102).

It can be divided in two parts, 201 and 10200, that added together give a palindrome (10401).

The spelling of 20110200 in words is "twenty million, one hundred ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 121 132 150 165 200 220 242 264 275 277 300 330 363 440 484 550 554 600 605 660 726 825 831 968 1100 1108 1210 1320 1385 1452 1650 1662 1815 2200 2216 2420 2770 2904 3025 3047 3300 3324 3630 4155 4840 5540 6050 6094 6600 6648 6925 7260 8310 9075 9141 11080 12100 12188 13850 14520 15235 16620 18150 18282 20775 24200 24376 27700 30470 33240 33517 36300 36564 41550 45705 55400 60940 67034 72600 73128 76175 83100 91410 100551 121880 134068 152350 166200 167585 182820 201102 228525 268136 304700 335170 365640 402204 457050 502755 609400 670340 804408 837925 914100 1005510 1340680 1675850 1828200 2011020 2513775 3351700 4022040 5027550 6703400 10055100 20110200