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212121033110120 = 23523159922897447
BaseRepresentation
bin110000001110110001000110…
…110100111111001001101000
31000211001120110111212012112002
4300032301012310333021220
5210300342333434010440
62031051020215110132
762452144641644351
oct6016610664771150
91024046414765462
10212121033110120
1161652030230192
121b95a588972348
139148c09bc6794
143a549d9c34d28
15197cb4c9d7115
hexc0ec46d3f268

212121033110120 has 32 divisors (see below), whose sum is σ = 477274406112000. Its totient is φ = 84848043179328.

The previous prime is 212121033110081. The next prime is 212121033110137. The reversal of 212121033110120 is 21011330121212.

It is a super-3 number, since 3×2121210331101203 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 212121033110092 and 212121033110101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2184764 + ... + 20712683.

It is an arithmetic number, because the mean of its divisors is an integer number (14914825191000).

Almost surely, 2212121033110120 is an apocalyptic number.

212121033110120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212121033110120 is an abundant number, since it is smaller than the sum of its proper divisors (265153373001880).

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

212121033110120 is a wasteful number, since it uses less digits than its factorization.

212121033110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23129057 (or 23129053 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 212121033110120 its reverse (21011330121212), we get a palindrome (233132363231332).

The spelling of 212121033110120 in words is "two hundred twelve trillion, one hundred twenty-one billion, thirty-three million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 231599 463198 926396 1157995 1852792 2315990 4631980 9263960 22897447 45794894 91589788 114487235 183179576 228974470 457948940 915897880 5303025827753 10606051655506 21212103311012 26515129138765 42424206622024 53030258277530 106060516555060 212121033110120