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2033112120 = 2335138111607
BaseRepresentation
bin111100100101110…
…1101010000111000
312020200122210111220
41321023231100320
513130434041440
6533424352040
7101245111404
oct17113552070
95220583456
102033112120
11953703256
12488a75620
1326529ba30
14154038104
15bd7538d0
hex792ed438

2033112120 has 128 divisors (see below), whose sum is σ = 6580707840. Its totient is φ = 499530240.

The previous prime is 2033112101. The next prime is 2033112131. The reversal of 2033112120 is 212113302.

2033112120 is digitally balanced in base 4, 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2033112120.

It is a congruent number.

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, 1264357 + ... + 1265963.

It is an arithmetic number, because the mean of its divisors is an integer number (51411780).

Almost surely, 22033112120 is an apocalyptic number.

2033112120 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 2033112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3290353920).

2033112120 is an abundant number, since it is smaller than the sum of its proper divisors (4547595720).

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

2033112120 is a wasteful number, since it uses less digits than its factorization.

2033112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2445 (or 2441 counting only the distinct ones).

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

The square root of 2033112120 is about 45090.0445774896. The cubic root of 2033112120 is about 1266.8361364512.

Adding to 2033112120 its reverse (212113302), we get a palindrome (2245225422).

The spelling of 2033112120 in words is "two billion, thirty-three million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 811 1560 1607 1622 2433 3214 3244 4055 4821 4866 6428 6488 8035 8110 9642 9732 10543 12165 12856 16070 16220 19284 19464 20891 21086 24105 24330 31629 32140 32440 38568 41782 42172 48210 48660 52715 62673 63258 64280 83564 84344 96420 97320 104455 105430 125346 126516 158145 167128 192840 208910 210860 250692 253032 313365 316290 417820 421720 501384 626730 632580 835640 1253460 1265160 1303277 2506920 2606554 3909831 5213108 6516385 7819662 10426216 13032770 15639324 16942601 19549155 26065540 31278648 33885202 39098310 50827803 52131080 67770404 78196620 84713005 101655606 135540808 156393240 169426010 203311212 254139015 338852020 406622424 508278030 677704040 1016556060 2033112120