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210033122300 = 225253388110211
BaseRepresentation
bin1100001110011011110…
…0110001101111111100
3202002010120101002212122
43003212330301233330
511420121434403200
6240253214422112
721113550040301
oct3034674615774
9662116332778
10210033122300
1181090249511
1234857801938
1316a62b35831
14a2467c70a8
1556e41c6385
hex30e6f31bfc

210033122300 has 72 divisors (see below), whose sum is σ = 464536486512. Its totient is φ = 82398784000.

The previous prime is 210033122237. The next prime is 210033122303. The reversal of 210033122300 is 3221330012.

It is a super-2 number, since 2×2100331223002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210033122303) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 20564195 + ... + 20574405.

It is an arithmetic number, because the mean of its divisors is an integer number (6451895646).

Almost surely, 2210033122300 is an apocalyptic number.

210033122300 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 210033122300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232268243256).

210033122300 is an abundant number, since it is smaller than the sum of its proper divisors (254503364212).

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

210033122300 is a wasteful number, since it uses less digits than its factorization.

210033122300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14159 (or 14152 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 210033122300 its reverse (3221330012), we get a palindrome (213254452312).

The spelling of 210033122300 in words is "two hundred ten billion, thirty-three million, one hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2650 3881 5300 7762 10211 15524 19405 20422 38810 40844 51055 77620 97025 102110 194050 204220 205693 255275 388100 411386 510550 541183 822772 1021100 1028465 1082366 2056930 2164732 2705915 4113860 5142325 5411830 10284650 10823660 13529575 20569300 27059150 39628891 54118300 79257782 158515564 198144455 396288910 792577820 990722275 1981444550 2100331223 3962889100 4200662446 8401324892 10501656115 21003312230 42006624460 52508280575 105016561150 210033122300