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212302421300 = 225215137937097
BaseRepresentation
bin1100010110111000110…
…1011101110100110100
3202021222201110102212202
43011232031131310310
511434243404440200
6241310321404032
721224023543334
oct3055615356464
9667881412782
10212302421300
1182045200432
123518b799618
131703501b8c8
14a3bdd430c4
1557c85311d5
hex316e35dd34

212302421300 has 72 divisors (see below), whose sum is σ = 464983364160. Its totient is φ = 84133728000.

The previous prime is 212302421297. The next prime is 212302421329. The reversal of 212302421300 is 3124203212.

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

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, 5704352 + ... + 5741448.

It is an arithmetic number, because the mean of its divisors is an integer number (6458102280).

Almost surely, 2212302421300 is an apocalyptic number.

212302421300 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 212302421300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232491682080).

212302421300 is an abundant number, since it is smaller than the sum of its proper divisors (252680942860).

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

212302421300 is a wasteful number, since it uses less digits than its factorization.

212302421300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37641 (or 37634 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 212302421300 its reverse (3124203212), we get a palindrome (215426624512).

The spelling of 212302421300 in words is "two hundred twelve billion, three hundred two million, four hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 151 302 379 604 755 758 1510 1516 1895 3020 3775 3790 7550 7580 9475 15100 18950 37097 37900 57229 74194 114458 148388 185485 228916 286145 370970 572290 741940 927425 1144580 1430725 1854850 2861450 3709700 5601647 5722900 11203294 14059763 22406588 28008235 28119526 56016470 56239052 70298815 112032940 140041175 140597630 280082350 281195260 351494075 560164700 702988150 1405976300 2123024213 4246048426 8492096852 10615121065 21230242130 42460484260 53075605325 106151210650 212302421300