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212130103020120 = 233252701121815197
BaseRepresentation
bin110000001110111001100011…
…011011111100101001011000
31000211002102212121111101000200
4300032321203123330221120
5210301014422333120440
62031055120214502200
762452615463625555
oct6016714333745130
91024072777441020
10212130103020120
1161655964a3087a
121b96029a364960
139149a23cb362c
143a5521a647a2c
15197cecddc2c30
hexc0ee636fca58

212130103020120 has 96 divisors (see below), whose sum is σ = 689448390199920. Its totient is φ = 56565930620160.

The previous prime is 212130103020107. The next prime is 212130103020167. The reversal of 212130103020120 is 21020301031212.

212130103020120 is a `hidden beast` number, since 21 + 21 + 301 + 0 + 302 + 0 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212130103020093 and 212130103020102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1183639 + ... + 20631558.

Almost surely, 2212130103020120 is an apocalyptic number.

212130103020120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212130103020120 is an abundant number, since it is smaller than the sum of its proper divisors (477318287179800).

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

212130103020120 is a wasteful number, since it uses less digits than its factorization.

212130103020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21842225 (or 21842218 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 212130103020120 its reverse (21020301031212), we get a palindrome (233150404051332).

The spelling of 212130103020120 in words is "two hundred twelve trillion, one hundred thirty billion, one hundred three million, twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 27011 54022 81033 108044 135055 162066 216088 243099 270110 324132 405165 486198 540220 648264 810330 972396 1080440 1215495 1620660 1944792 2430990 3241320 4861980 9723960 21815197 43630394 65445591 87260788 109075985 130891182 174521576 196336773 218151970 261782364 327227955 392673546 436303940 523564728 654455910 785347092 872607880 981683865 1308911820 1570694184 1963367730 2617823640 3926735460 7853470920 589250286167 1178500572334 1767750858501 2357001144668 2946251430835 3535501717002 4714002289336 5303252575503 5892502861670 7071003434004 8838754292505 10606505151006 11785005723340 14142006868008 17677508585010 21213010302012 23570011446680 26516262877515 35355017170020 42426020604024 53032525755030 70710034340040 106065051510060 212130103020120