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211130341016 = 237101227164443
BaseRepresentation
bin1100010010100001011…
…0010101011010011000
3202011222000222120222212
43010220112111122120
511424343331403031
6240554131534252
721153002200550
oct3045026253230
9664860876885
10211130341016
11815a3634141
1234b0315a388
1316ba925158a
14a30c400160
15575a6ad12b
hex3128595698

211130341016 has 64 divisors (see below), whose sum is σ = 458917159680. Its totient is φ = 89193340800.

The previous prime is 211130341007. The next prime is 211130341039. The reversal of 211130341016 is 610143031112.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 211130340982 and 211130341000.

It is a congruent 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, 1201691 + ... + 1366133.

It is an arithmetic number, because the mean of its divisors is an integer number (7170580620).

Almost surely, 2211130341016 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 211130341016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229458579840).

211130341016 is an abundant number, since it is smaller than the sum of its proper divisors (247786818664).

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

211130341016 is a wasteful number, since it uses less digits than its factorization.

211130341016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164784 (or 164780 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 211130341016 its reverse (610143031112), we get a palindrome (821273372128).

The spelling of 211130341016 in words is "two hundred eleven billion, one hundred thirty million, three hundred forty-one thousand, sixteen".

Divisors: 1 2 4 7 8 14 28 56 101 202 227 404 454 707 808 908 1414 1589 1816 2828 3178 5656 6356 12712 22927 45854 91708 160489 164443 183416 320978 328886 641956 657772 1151101 1283912 1315544 2302202 4604404 9208808 16608743 33217486 37328561 66434972 74657122 116261201 132869944 149314244 232522402 261299927 298628488 465044804 522599854 930089608 1045199708 2090399416 3770184661 7540369322 15080738644 26391292627 30161477288 52782585254 105565170508 211130341016