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2112421500 = 223253767061
BaseRepresentation
bin111110111101000…
…1111111001111100
312110012220010112100
41331322033321330
513311234442000
6545340305100
7103230200160
oct17572177174
95405803470
102112421500
119944525a2
124ab542190
13278849967
141607a0ca0
15c56bca00
hex7de8fe7c

2112421500 has 144 divisors (see below), whose sum is σ = 7616097216. Its totient is φ = 482832000.

The previous prime is 2112421489. The next prime is 2112421511. The reversal of 2112421500 is 51242112.

2112421500 is a `hidden beast` number, since 21 + 124 + 21 + 500 = 666.

It is an interprime number because it is at equal distance from previous prime (2112421489) and next prime (2112421511).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2031 + ... + 65030.

It is an arithmetic number, because the mean of its divisors is an integer number (52889564).

Almost surely, 22112421500 is an apocalyptic number.

2112421500 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 2112421500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3808048608).

2112421500 is an abundant number, since it is smaller than the sum of its proper divisors (5503675716).

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

2112421500 is a wasteful number, since it uses less digits than its factorization.

2112421500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67093 (or 67078 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2112421500 is about 45961.0868017718. The cubic root of 2112421500 is about 1283.0990783235.

Adding to 2112421500 its reverse (51242112), we get a palindrome (2163663612).

It can be divided in two parts, 21124 and 21500, that added together give a palindrome (42624).

The spelling of 2112421500 in words is "two billion, one hundred twelve million, four hundred twenty-one thousand, five hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 125 126 140 150 175 180 210 225 250 252 300 315 350 375 420 450 500 525 630 700 750 875 900 1050 1125 1260 1500 1575 1750 2100 2250 2625 3150 3500 4500 5250 6300 7875 10500 15750 31500 67061 134122 201183 268244 335305 402366 469427 603549 670610 804732 938854 1005915 1207098 1341220 1408281 1676525 1877708 2011830 2347135 2414196 2816562 3017745 3353050 4023660 4224843 4694270 5029575 5633124 6035490 6706100 7041405 8382625 8449686 9388540 10059150 11735675 12070980 14082810 15088725 16765250 16899372 20118300 21124215 23471350 25147875 28165620 30177450 33530500 35207025 42248430 46942700 50295750 58678375 60354900 70414050 75443625 84496860 100591500 105621075 117356750 140828100 150887250 176035125 211242150 234713500 301774500 352070250 422484300 528105375 704140500 1056210750 2112421500