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112050252000 = 2532533112507
BaseRepresentation
bin110100001011010110…
…1110010100011100000
3101201012222022120101100
41220112231302203200
53313434331031000
6123250345434400
711044465266351
oct1502655624340
9351188276340
10112050252000
114357a49a855
121987149ba00
13a7491ba27b
1455cd5ddd28
152dac0d4a00
hex1a16b728e0

112050252000 has 144 divisors (see below), whose sum is σ = 397666472112. Its totient is φ = 29880057600.

The previous prime is 112050251927. The next prime is 112050252079. The reversal of 112050252000 is 252050211.

112050252000 is a `hidden beast` number, since 112 + 0 + 502 + 52 + 0 + 0 + 0 = 666.

112050252000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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 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, 1520254 + ... + 1592253.

It is an arithmetic number, because the mean of its divisors is an integer number (2761572723).

Almost surely, 2112050252000 is an apocalyptic number.

112050252000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112050252000 is an abundant number, since it is smaller than the sum of its proper divisors (285616220112).

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

112050252000 is a wasteful number, since it uses less digits than its factorization.

112050252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3112538 (or 3112517 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The spelling of 112050252000 in words is "one hundred twelve billion, fifty million, two hundred fifty-two thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 125 144 150 160 180 200 225 240 250 288 300 360 375 400 450 480 500 600 720 750 800 900 1000 1125 1200 1440 1500 1800 2000 2250 2400 3000 3600 4000 4500 6000 7200 9000 12000 18000 36000 3112507 6225014 9337521 12450028 15562535 18675042 24900056 28012563 31125070 37350084 46687605 49800112 56025126 62250140 74700168 77812675 93375210 99600224 112050252 124500280 140062815 149400336 155625350 186750420 224100504 233438025 249000560 280125630 298800672 311250700 373500840 389063375 448201008 466876050 498001120 560251260 622501400 700314075 747001680 778126750 896402016 933752100 1120502520 1167190125 1245002800 1400628150 1494003360 1556253500 1867504200 2241005040 2334380250 2490005600 2801256300 3112507000 3501570375 3735008400 4482010080 4668760500 5602512600 6225014000 7003140750 7470016800 9337521000 11205025200 12450028000 14006281500 18675042000 22410050400 28012563000 37350084000 56025126000 112050252000