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2112054000 = 24353750287
BaseRepresentation
bin111110111100011…
…0110001011110000
312110012012110102020
41331320312023300
513311141212000
6545324351440
7103224106560
oct17570661360
95405173366
102112054000
11994221481
124ab3a5580
1327874b5c4
14160706da0
15c5648ba0
hex7de362f0

2112054000 has 160 divisors (see below), whose sum is σ = 7782168576. Its totient is φ = 482745600.

The previous prime is 2112053981. The next prime is 2112054001. The reversal of 2112054000 is 4502112.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112054001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16857 + ... + 67143.

Almost surely, 22112054000 is an apocalyptic number.

2112054000 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 2112054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3891084288).

2112054000 is an abundant number, since it is smaller than the sum of its proper divisors (5670114576).

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

2112054000 is a wasteful number, since it uses less digits than its factorization.

2112054000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50320 (or 50304 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 2112054000 is about 45957.0886806377. The cubic root of 2112054000 is about 1283.0246666813.

Adding to 2112054000 its reverse (4502112), we get a palindrome (2116556112).

The spelling of 2112054000 in words is "two billion, one hundred twelve million, fifty-four thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 125 140 150 168 175 200 210 240 250 280 300 336 350 375 400 420 500 525 560 600 700 750 840 875 1000 1050 1200 1400 1500 1680 1750 2000 2100 2625 2800 3000 3500 4200 5250 6000 7000 8400 10500 14000 21000 42000 50287 100574 150861 201148 251435 301722 352009 402296 502870 603444 704018 754305 804592 1005740 1056027 1206888 1257175 1408036 1508610 1760045 2011480 2112054 2413776 2514350 2816072 3017220 3520090 3771525 4022960 4224108 5028700 5280135 5632144 6034440 6285875 7040180 7543050 8448216 8800225 10057400 10560270 12068880 12571750 14080360 15086100 16896432 17600450 18857625 20114800 21120540 25143500 26400675 28160720 30172200 35200900 37715250 42241080 44001125 50287000 52801350 60344400 70401800 75430500 84482160 88002250 100574000 105602700 132003375 140803600 150861000 176004500 211205400 264006750 301722000 352009000 422410800 528013500 704018000 1056027000 2112054000