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212100130304 = 297910095197
BaseRepresentation
bin1100010110001000100…
…1110010011000000000
3202021110121210222210122
43011202021302120000
511433340113132204
6241234253515412
721216016234556
oct3054211623000
9667417728718
10212100130304
1181a50aa3197
1235133aa2b68
13170021418aa
14a3a1125bd6
1557b58c30be
hex3162272600

212100130304 has 80 divisors (see below), whose sum is σ = 429658363200. Its totient is φ = 104583757824.

The previous prime is 212100130289. The next prime is 212100130321. The reversal of 212100130304 is 403031001212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40809434 + ... + 40814630.

It is an arithmetic number, because the mean of its divisors is an integer number (5370729540).

Almost surely, 2212100130304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212100130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214829181600).

212100130304 is an abundant number, since it is smaller than the sum of its proper divisors (217558232896).

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

212100130304 is an equidigital number, since it uses as much as digits as its factorization.

212100130304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6303 (or 6287 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 212100130304 its reverse (403031001212), we get a palindrome (615131131516).

The spelling of 212100130304 in words is "two hundred twelve billion, one hundred million, one hundred thirty thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 79 128 158 256 316 512 632 1009 1264 2018 2528 4036 5056 5197 8072 10112 10394 16144 20224 20788 32288 40448 41576 64576 79711 83152 129152 159422 166304 258304 318844 332608 410563 516608 637688 665216 821126 1275376 1330432 1642252 2550752 2660864 3284504 5101504 5243773 6569008 10203008 10487546 13138016 20406016 20975092 26276032 40812032 41950184 52552064 83900368 105104128 167800736 210208256 335601472 414258067 671202944 828516134 1342405888 1657032268 2684811776 3314064536 6628129072 13256258144 26512516288 53025032576 106050065152 212100130304