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211132001020224 = 26310691028667763
BaseRepresentation
bin110000000000010111111111…
…111010111110100101000000
31000200120000121011111100012210
4300000113333322332211000
5210133141314230121344
62025012411405022120
762320532543616534
oct6000277772764500
91020500534440183
10211132001020224
1161300640415509
121b81a967b54940
1390a687bccb29b
143a1cbb4307bc4
1519620640c1db9
hexc005ffebe940

211132001020224 has 56 divisors (see below), whose sum is σ = 559142649799840. Its totient is φ = 70311498868224.

The previous prime is 211132001020217. The next prime is 211132001020249. The reversal of 211132001020224 is 422020100231112.

It is a happy number.

211132001020224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 211132001020224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 514128634 + ... + 514539129.

Almost surely, 2211132001020224 is an apocalyptic number.

211132001020224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

211132001020224 is an abundant number, since it is smaller than the sum of its proper divisors (348010648779616).

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

211132001020224 is a wasteful number, since it uses less digits than its factorization.

211132001020224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028668847 (or 1028668837 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 211132001020224 its reverse (422020100231112), we get a palindrome (633152101251336).

The spelling of 211132001020224 in words is "two hundred eleven trillion, one hundred thirty-two billion, one million, twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 1069 2138 3207 4276 6414 8552 12828 17104 25656 34208 51312 68416 102624 205248 1028667763 2057335526 3086003289 4114671052 6172006578 8229342104 12344013156 16458684208 24688026312 32917368416 49376052624 65834736832 98752105248 197504210496 1099645838647 2199291677294 3298937515941 4398583354588 6597875031882 8797166709176 13195750063764 17594333418352 26391500127528 35188666836704 52783000255056 70377333673408 105566000510112 211132001020224