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213050401312 = 2576752327143
BaseRepresentation
bin1100011001101011001…
…0110010001000100000
3202100220211220202120011
43012122302302020200
511442311400320222
6241512441254304
721251405350150
oct3063262621040
9670824822504
10213050401312
1182399440931
123535a194394
1317123c89b28
14a45140a760
15581e02ec77
hex319acb2220

213050401312 has 96 divisors (see below), whose sum is σ = 487466284032. Its totient is φ = 89769233664.

The previous prime is 213050401307. The next prime is 213050401331. The reversal of 213050401312 is 213104050312.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7835613 + ... + 7862755.

It is an arithmetic number, because the mean of its divisors is an integer number (5077773792).

Almost surely, 2213050401312 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 213050401312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243733142016).

213050401312 is an abundant number, since it is smaller than the sum of its proper divisors (274415882720).

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

213050401312 is a wasteful number, since it uses less digits than its factorization.

213050401312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27750 (or 27742 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 213050401312 its reverse (213104050312), we get a palindrome (426154451624).

The spelling of 213050401312 in words is "two hundred thirteen billion, fifty million, four hundred one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 67 112 134 224 268 469 523 536 938 1046 1072 1876 2092 2144 3661 3752 4184 7322 7504 8368 14644 15008 16736 27143 29288 35041 54286 58576 70082 108572 117152 140164 190001 217144 245287 280328 380002 434288 490574 560656 760004 868576 981148 1121312 1520008 1818581 1962296 3040016 3637162 3924592 6080032 7274324 7849184 12730067 14195789 14548648 25460134 28391578 29097296 50920268 56783156 58194592 99370523 101840536 113566312 198741046 203681072 227132624 397482092 407362144 454265248 794964184 951117863 1589928368 1902235726 3179856736 3804471452 6657825041 7608942904 13315650082 15217885808 26631300164 30435771616 53262600328 106525200656 213050401312