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211303130310 = 232531384719687
BaseRepresentation
bin1100010011001010100…
…1011110010011000110
3202012102002010012100100
43010302221132103012
511430222100132220
6241023223224530
721160200654456
oct3046251362306
9665362105310
10211303130310
1181682121308
1234b50ba8146
1316c05c9c36c
14a32733bd66
15576a93ed90
hex3132a5e4c6

211303130310 has 96 divisors (see below), whose sum is σ = 567286566912. Its totient is φ = 54512896320.

The previous prime is 211303130303. The next prime is 211303130347. The reversal of 211303130310 is 13031303112.

It is a happy number.

211303130310 is a `hidden beast` number, since 2 + 11 + 30 + 313 + 0 + 310 = 666.

It is a super-2 number, since 2×2113031303102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10723287 + ... + 10742973.

It is an arithmetic number, because the mean of its divisors is an integer number (5909235072).

Almost surely, 2211303130310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211303130310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283643283456).

211303130310 is an abundant number, since it is smaller than the sum of its proper divisors (355983436602).

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

211303130310 is a wasteful number, since it uses less digits than its factorization.

211303130310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23578 (or 23575 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 211303130310 its reverse (13031303112), we get a palindrome (224334433422).

The spelling of 211303130310 in words is "two hundred eleven billion, three hundred three million, one hundred thirty thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1395 2790 3847 7694 11541 19235 19687 23082 34623 38470 39374 57705 59061 69246 98435 115410 118122 119257 173115 177183 196870 238514 295305 346230 354366 357771 590610 596285 610297 715542 885915 1073313 1192570 1220594 1771830 1788855 1830891 2146626 3051485 3577710 3661782 5366565 5492673 6102970 9154455 10733130 10985346 18308910 27463365 54926730 75735889 151471778 227207667 378679445 454415334 681623001 757358890 1136038335 1363246002 2272076670 2347812559 3408115005 4695625118 6816230010 7043437677 11739062795 14086875354 21130313031 23478125590 35217188385 42260626062 70434376770 105651565155 211303130310