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112002210200 = 23528918893331
BaseRepresentation
bin110100001001111011…
…0100001100110011000
3101201002121220210102102
41220103312201212120
53313340031211300
6123241512022532
711043343035656
oct1502366414630
9351077823372
10112002210200
1143555367291
1219859391a48
13a73c26927a
1455c7095dd6
152da7c950d5
hex1a13da1998

112002210200 has 96 divisors (see below), whose sum is σ = 263549538000. Its totient is φ = 44260761600.

The previous prime is 112002210169. The next prime is 112002210241. The reversal of 112002210200 is 2012200211.

It is a happy number.

112002210200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 33622535 + ... + 33625865.

Almost surely, 2112002210200 is an apocalyptic number.

112002210200 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 112002210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131774769000).

112002210200 is an abundant number, since it is smaller than the sum of its proper divisors (151547327800).

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

112002210200 is a wasteful number, since it uses less digits than its factorization.

112002210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5325 (or 5316 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 112002210200 its reverse (2012200211), we get a palindrome (114014410411).

The spelling of 112002210200 in words is "one hundred twelve billion, two million, two hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 89 100 178 200 356 445 712 890 1780 1889 2225 3331 3560 3778 4450 6662 7556 8900 9445 13324 15112 16655 17800 18890 26648 33310 37780 47225 66620 75560 83275 94450 133240 166550 168121 188900 296459 333100 336242 377800 592918 666200 672484 840605 1185836 1344968 1482295 1681210 2371672 2964590 3362420 4203025 5929180 6292259 6724840 7411475 8406050 11858360 12584518 14822950 16812100 25169036 29645900 31461295 33624200 50338072 59291800 62922590 125845180 157306475 251690360 314612950 560011051 629225900 1120022102 1258451800 2240044204 2800055255 4480088408 5600110510 11200221020 14000276275 22400442040 28000552550 56001105100 112002210200