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20112114000 = 2435311304729
BaseRepresentation
bin10010101110110001…
…101000000101010000
31220220122111020202010
4102232301220011100
5312142200122000
613123412222520
71311253101606
oct225661500520
956818436663
1020112114000
118590844a20
123a9360aa40
131b869a0294
14d8b14b876
157caa14d50
hex4aec68150

20112114000 has 160 divisors (see below), whose sum is σ = 70736365440. Its totient is φ = 4875648000.

The previous prime is 20112113999. The next prime is 20112114049. The reversal of 20112114000 is 41121102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 86365 + ... + 218364.

It is an arithmetic number, because the mean of its divisors is an integer number (442102284).

Almost surely, 220112114000 is an apocalyptic number.

20112114000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20112114000 is an abundant number, since it is smaller than the sum of its proper divisors (50624251440).

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

20112114000 is a wasteful number, since it uses less digits than its factorization.

20112114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304766 (or 304750 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20112114000 its reverse (41121102), we get a palindrome (20153235102).

The spelling of 20112114000 in words is "twenty billion, one hundred twelve million, one hundred fourteen thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 22000 33000 66000 304729 609458 914187 1218916 1523645 1828374 2437832 3047290 3352019 3656748 4570935 4875664 6094580 6704038 7313496 7618225 9141870 10056057 12189160 13408076 14626992 15236450 16760095 18283740 20112114 22854675 24378320 26816152 30472900 33520190 36567480 38091125 40224228 45709350 50280285 53632304 60945800 67040380 73134960 76182250 80448456 83800475 91418700 100560570 114273375 121891600 134080760 152364500 160896912 167600950 182837400 201121140 228546750 251401425 268161520 304729000 335201900 365674800 402242280 419002375 457093500 502802850 609458000 670403800 804484560 838004750 914187000 1005605700 1257007125 1340807600 1676009500 1828374000 2011211400 2514014250 3352019000 4022422800 5028028500 6704038000 10056057000 20112114000