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112033210200 = 23352372136393
BaseRepresentation
bin110100001010110110…
…0110001111101011000
3101201011210020202102120
41220111230301331120
53313421000211300
6123244540301240
711044200400662
oct1502554617530
9351153222376
10112033210200
114357091001a
1219867841820
13a745801472
1455cb245532
152daa86a3a0
hex1a15b31f58

112033210200 has 144 divisors (see below), whose sum is σ = 356945825880. Its totient is φ = 29067863040.

The previous prime is 112033210169. The next prime is 112033210207. The reversal of 112033210200 is 2012330211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112033210200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112033210207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 753204 + ... + 889596.

Almost surely, 2112033210200 is an apocalyptic number.

112033210200 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 112033210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178472912940).

112033210200 is an abundant number, since it is smaller than the sum of its proper divisors (244912615680).

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

112033210200 is a wasteful number, since it uses less digits than its factorization.

112033210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136486 (or 136440 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 112033210200 its reverse (2012330211), we get a palindrome (114045540411).

The spelling of 112033210200 in words is "one hundred twelve billion, thirty-three million, two hundred ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 148 150 185 200 222 296 300 370 444 555 600 740 888 925 1110 1369 1480 1850 2220 2738 2775 3700 4107 4440 5476 5550 6845 7400 8214 10952 11100 13690 16428 20535 22200 27380 32856 34225 41070 54760 68450 82140 102675 136393 136900 164280 205350 272786 273800 409179 410700 545572 681965 818358 821400 1091144 1363930 1636716 2045895 2727860 3273432 3409825 4091790 5046541 5455720 6819650 8183580 10093082 10229475 13639300 15139623 16367160 20186164 20458950 25232705 27278600 30279246 40372328 40917900 50465410 60558492 75698115 81835800 100930820 121116984 126163525 151396230 186722017 201861640 252327050 302792460 373444034 378490575 504654100 560166051 605584920 746888068 756981150 933610085 1009308200 1120332102 1493776136 1513962300 1867220170 2240664204 2800830255 3027924600 3734440340 4481328408 4668050425 5601660510 7468880680 9336100850 11203321020 14004151275 18672201700 22406642040 28008302550 37344403400 56016605100 112033210200