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212123510250 = 235310910632441
BaseRepresentation
bin1100010110001110001…
…0111110010111101010
3202021112020210211001120
43011203202332113222
511433412104312000
6241240451000110
721216422041641
oct3054342762752
9667466724046
10212123510250
1181a63211963
123513b899036
1317006c39592
14a3a4290358
1557b79906a0
hex31638be5ea

212123510250 has 128 divisors (see below), whose sum is σ = 535039464960. Its totient is φ = 55971648000.

The previous prime is 212123510213. The next prime is 212123510279. The reversal of 212123510250 is 52015321212.

212123510250 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 212123510250.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86899030 + ... + 86901470.

It is an arithmetic number, because the mean of its divisors is an integer number (4179995820).

Almost surely, 2212123510250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212123510250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267519732480).

212123510250 is an abundant number, since it is smaller than the sum of its proper divisors (322915954710).

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

212123510250 is a wasteful number, since it uses less digits than its factorization.

212123510250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3633 (or 3623 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 212123510250 its reverse (52015321212), we get a palindrome (264138831462).

The spelling of 212123510250 in words is "two hundred twelve billion, one hundred twenty-three million, five hundred ten thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 109 125 150 218 250 327 375 545 654 750 1063 1090 1635 2126 2441 2725 3189 3270 4882 5315 5450 6378 7323 8175 10630 12205 13625 14646 15945 16350 24410 26575 27250 31890 36615 40875 53150 61025 73230 79725 81750 115867 122050 132875 159450 183075 231734 265750 266069 305125 347601 366150 398625 532138 579335 610250 695202 797250 798207 915375 1158670 1330345 1596414 1738005 1830750 2594783 2660690 2896675 3476010 3991035 5189566 5793350 6651725 7784349 7982070 8690025 12973915 13303450 14483375 15568698 17380050 19955175 25947830 28966750 33258625 38921745 39910350 43450125 64869575 66517250 77843490 86900250 99775875 129739150 194608725 199551750 282831347 324347875 389217450 565662694 648695750 848494041 973043625 1414156735 1696988082 1946087250 2828313470 4242470205 7070783675 8484940410 14141567350 21212351025 35353918375 42424702050 70707836750 106061755125 212123510250