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211130341422 = 23731113717413
BaseRepresentation
bin1100010010100001011…
…0010101100000101110
3202011222000222121112220
43010220112111200232
511424343331411142
6240554131540210
721153002202000
oct3045026254056
9664860877486
10211130341422
11815a3634480
1234b0315a666
1316ba9251810
14a30c400370
15575a6ad2ec
hex312859582e

211130341422 has 128 divisors (see below), whose sum is σ = 578522649600. Its totient is φ = 50620590720.

The previous prime is 211130341421. The next prime is 211130341423. The reversal of 211130341422 is 224143031112.

It is an interprime number because it is at equal distance from previous prime (211130341421) and next prime (211130341423).

It is a junction number, because it is equal to n+sod(n) for n = 211130341392 and 211130341401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211130341421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64413 + ... + 653000.

It is an arithmetic number, because the mean of its divisors is an integer number (4519708200).

Almost surely, 2211130341422 is an apocalyptic number.

211130341422 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 211130341422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289261324800).

211130341422 is an abundant number, since it is smaller than the sum of its proper divisors (367392308178).

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

211130341422 is a wasteful number, since it uses less digits than its factorization.

211130341422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717463 (or 717449 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 211130341422 its reverse (224143031112), we get a palindrome (435273372534).

The spelling of 211130341422 in words is "two hundred eleven billion, one hundred thirty million, three hundred forty-one thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 49 66 77 78 91 98 143 147 154 182 231 273 286 294 343 429 462 539 546 637 686 858 1001 1029 1078 1274 1617 1911 2002 2058 3003 3234 3773 3822 4459 6006 7007 7546 8918 11319 13377 14014 21021 22638 26754 42042 49049 98098 147147 294294 717413 1434826 2152239 4304478 5021891 7891543 9326369 10043782 15065673 15783086 18652738 23674629 27979107 30131346 35153237 47349258 55240801 55958214 65284583 70306474 102590059 105459711 110481602 130569166 165722403 195853749 205180118 210919422 246072659 307770177 331444806 386685607 391707498 456992081 492145318 615540354 718130413 738217977 773371214 913984162 1160056821 1370976243 1436260826 1476435954 2154391239 2320113642 2706799249 2741952486 3198944567 4308782478 5026912891 5413598498 6397889134 8120397747 9596833701 10053825782 15080738673 16240795494 19193667402 30161477346 35188390237 70376780474 105565170711 211130341422