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210011323120 = 2456773536729
BaseRepresentation
bin1100001110010110100…
…1100111101011110000
3202002002001100121000121
43003211221213223300
511420100344314440
6240251115300024
721113163535654
oct3034551475360
9662061317017
10210011323120
1181079a0a465
123485044a614
1316a5b472501
14a243950a64
1556e231c34a
hex30e5a67af0

210011323120 has 80 divisors (see below), whose sum is σ = 502353516960. Its totient is φ = 81617006592.

The previous prime is 210011323061. The next prime is 210011323129. The reversal of 210011323120 is 21323110012.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2100113231202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 210011323094 and 210011323103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210011323129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122916 + ... + 659644.

It is an arithmetic number, because the mean of its divisors is an integer number (6279418962).

Almost surely, 2210011323120 is an apocalyptic number.

210011323120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210011323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251176758480).

210011323120 is an abundant number, since it is smaller than the sum of its proper divisors (292342193840).

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

210011323120 is a wasteful number, since it uses less digits than its factorization.

210011323120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536882 (or 536876 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 210011323120 its reverse (21323110012), we get a palindrome (231334433132).

The spelling of 210011323120 in words is "two hundred ten billion, eleven million, three hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 67 73 80 134 146 268 292 335 365 536 584 670 730 1072 1168 1340 1460 2680 2920 4891 5360 5840 9782 19564 24455 39128 48910 78256 97820 195640 391280 536729 1073458 2146916 2683645 4293832 5367290 8587664 10734580 21469160 35960843 39181217 42938320 71921686 78362434 143843372 156724868 179804215 195906085 287686744 313449736 359608430 391812170 575373488 626899472 719216860 783624340 1438433720 1567248680 2625141539 2876867440 3134497360 5250283078 10500566156 13125707695 21001132312 26251415390 42002264624 52502830780 105005661560 210011323120