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211212000212100 = 223523098322723429
BaseRepresentation
bin110000000001100010100000…
…001111101011010010000100
31000200211200002110002100200020
4300001202200033223102010
5210140444134023241400
62025113241533215140
762326364155544226
oct6001424017532204
91020750073070606
10211212000212100
116133156291a418
121b8323736314b0
1390b128ac0c304
143a22a02d12416
1519641974812a0
hexc018a03eb484

211212000212100 has 72 divisors (see below), whose sum is σ = 611126471444160. Its totient is φ = 56321379703680.

The previous prime is 211212000212077. The next prime is 211212000212119. The reversal of 211212000212100 is 1212000212112.

It is a super-2 number, since 2×2112120002121002 (a number of 29 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 211212000212100.

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, 2066815 + ... + 20656614.

Almost surely, 2211212000212100 is an apocalyptic number.

211212000212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211212000212100 is an abundant number, since it is smaller than the sum of its proper divisors (399914471232060).

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

211212000212100 is a wasteful number, since it uses less digits than its factorization.

211212000212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22754429 (or 22754422 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 211212000212100 its reverse (1212000212112), we get a palindrome (212424000424212).

The spelling of 211212000212100 in words is "two hundred eleven trillion, two hundred twelve billion, two hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 30983 61966 92949 123932 154915 185898 309830 371796 464745 619660 774575 929490 1549150 1858980 2323725 3098300 4647450 9294900 22723429 45446858 68170287 90893716 113617145 136340574 227234290 272681148 340851435 454468580 568085725 681702870 1136171450 1363405740 1704257175 2272342900 3408514350 6817028700 704040000707 1408080001414 2112120002121 2816160002828 3520200003535 4224240004242 7040400007070 8448480008484 10560600010605 14080800014140 17601000017675 21121200021210 35202000035350 42242400042420 52803000053025 70404000070700 105606000106050 211212000212100