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211141231422 = 231129479724197
BaseRepresentation
bin1100010010100011111…
…1111000001100111110
3202011222210110212211020
43010220333320030332
511424404123401142
6240555201205010
721153163566162
oct3045077701476
9664883425736
10211141231422
11815a97a2280
1234b06930766
1316bab5954c4
14a30da36ca2
15575b60ecec
hex3128ff833e

211141231422 has 128 divisors (see below), whose sum is σ = 491734333440. Its totient is φ = 59835740160.

The previous prime is 211141231381. The next prime is 211141231447. The reversal of 211141231422 is 224132141112.

It is a junction number, because it is equal to n+sod(n) for n = 211141231392 and 211141231401.

It is a congruent number.

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, 8713828 + ... + 8738024.

It is an arithmetic number, because the mean of its divisors is an integer number (3841674480).

Almost surely, 2211141231422 is an apocalyptic number.

211141231422 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 211141231422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245867166720).

211141231422 is an abundant number, since it is smaller than the sum of its proper divisors (280593102018).

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

211141231422 is a wasteful number, since it uses less digits than its factorization.

211141231422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24386.

The product of its digits is 768, while the sum is 24.

Adding to 211141231422 its reverse (224132141112), we get a palindrome (435273372534).

The spelling of 211141231422 in words is "two hundred eleven billion, one hundred forty-one million, two hundred thirty-one thousand, four hundred twenty-two".

Divisors: 1 2 3 6 11 22 29 33 47 58 66 87 94 97 141 174 194 282 291 319 517 582 638 957 1034 1067 1363 1551 1914 2134 2726 2813 3102 3201 4089 4559 5626 6402 8178 8439 9118 13677 14993 16878 24197 27354 29986 30943 44979 48394 50149 61886 72591 89958 92829 100298 132211 145182 150447 185658 264422 266167 300894 396633 532334 701713 793266 798501 1137259 1403426 1454321 1597002 2105139 2274518 2347109 2908642 3411777 4210278 4362963 4694218 6823554 7041327 7718843 8725926 12509849 14082654 15437686 23156529 25019698 25818199 32980511 37529547 46313058 51636398 65961022 68066161 75059094 77454597 98941533 110314123 136132322 154909194 197883066 204198483 220628246 330942369 362785621 408396966 661884738 725571242 748727771 1088356863 1213455353 1497455542 2176713726 2246183313 2426910706 3199109567 3640366059 4492366626 6398219134 7280732118 9597328701 19194657402 35190205237 70380410474 105570615711 211141231422