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212322310000 = 245452340597
BaseRepresentation
bin1100010110111101100…
…1010101011101110000
3202022001002212220001021
43011233121111131300
511434314002410000
6241312311545224
721224354600023
oct3055731253560
9668032786037
10212322310000
1182055455079
123519638b214
1317039193478
14a3c283d1ba
1557ca15e11a
hex316f655770

212322310000 has 100 divisors (see below), whose sum is σ = 515049125272. Its totient is φ = 84764448000.

The previous prime is 212322309937. The next prime is 212322310019. The reversal of 212322310000 is 13223212.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×2123223100002 (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5209702 + ... + 5250298.

Almost surely, 2212322310000 is an apocalyptic number.

212322310000 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 212322310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257524562636).

212322310000 is an abundant number, since it is smaller than the sum of its proper divisors (302726815272).

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

212322310000 is an equidigital number, since it uses as much as digits as its factorization.

212322310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41148 (or 41127 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 212322310000 its reverse (13223212), we get a palindrome (212335533212).

The spelling of 212322310000 in words is "two hundred twelve billion, three hundred twenty-two million, three hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 523 625 1000 1046 1250 2000 2092 2500 2615 4184 5000 5230 8368 10000 10460 13075 20920 26150 40597 41840 52300 65375 81194 104600 130750 162388 202985 209200 261500 324776 326875 405970 523000 649552 653750 811940 1014925 1046000 1307500 1623880 2029850 2615000 3247760 4059700 5074625 5230000 8119400 10149250 16238800 20298500 21232231 25373125 40597000 42464462 50746250 81194000 84928924 101492500 106161155 169857848 202985000 212322310 339715696 405970000 424644620 530805775 849289240 1061611550 1698578480 2123223100 2654028875 4246446200 5308057750 8492892400 10616115500 13270144375 21232231000 26540288750 42464462000 53080577500 106161155000 212322310000