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212101112111000 = 23537101300001573
BaseRepresentation
bin110000001110011110100011…
…011100011001111110011000
31000210222200001011222121002212
4300032132203130121332120
5210300031034200023000
62031033523351014252
762450541166152620
oct6016364334317630
91023880034877085
10212101112111000
116164463835a752
121b95674936a388
1391470839bc538
143a53a6a235880
15197c383b73c35
hexc0e7a3719f98

212101112111000 has 128 divisors (see below), whose sum is σ = 572835005458560. Its totient is φ = 72000377280000.

The previous prime is 212101112110973. The next prime is 212101112111011. The reversal of 212101112111000 is 111211101212.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 149293787 + ... + 150707786.

It is an arithmetic number, because the mean of its divisors is an integer number (4475273480145).

Almost surely, 2212101112111000 is an apocalyptic number.

212101112111000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212101112111000 is an abundant number, since it is smaller than the sum of its proper divisors (360733893347560).

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

212101112111000 is a wasteful number, since it uses less digits than its factorization.

212101112111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300001702 (or 300001688 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 212101112111000 its reverse (111211101212), we get a palindrome (212212323212212).

The spelling of 212101112111000 in words is "two hundred twelve trillion, one hundred one billion, one hundred twelve million, one hundred eleven thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 101 125 140 175 200 202 250 280 350 404 500 505 700 707 808 875 1000 1010 1400 1414 1750 2020 2525 2828 3500 3535 4040 5050 5656 7000 7070 10100 12625 14140 17675 20200 25250 28280 35350 50500 70700 88375 101000 141400 176750 353500 707000 300001573 600003146 1200006292 1500007865 2100011011 2400012584 3000015730 4200022022 6000031460 7500039325 8400044044 10500055055 12000062920 15000078650 16800088088 21000110110 30000157300 30300158873 37500196625 42000220220 52500275275 60000314600 60600317746 75000393250 84000440440 105000550550 121200635492 150000786500 151500794365 210001101100 212101112111 242401270984 262501376375 300001573000 303001588730 420002202200 424202224222 525002752750 606003177460 757503971825 848404448444 1050005505500 1060505560555 1212006354920 1515007943650 1696808896888 2100011011000 2121011121110 3030015887300 3787519859125 4242022242220 5302527802775 6060031774600 7575039718250 8484044484440 10605055605550 15150079436500 21210111211100 26512639013875 30300158873000 42420222422200 53025278027750 106050556055500 212101112111000