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211122301130 = 251317612276899
BaseRepresentation
bin1100010010011111011…
…1101010100011001010
3202011221110212010100022
43010213313222203022
511424334302114010
6240553243340442
721152543643626
oct3044767524312
9664843763308
10211122301130
118159a042704
1234b00521722
1316ba7697c50
14a30b30a186
155759b20d55
hex3127dea8ca

211122301130 has 128 divisors (see below), whose sum is σ = 442434182400. Its totient is φ = 71836323840.

The previous prime is 211122301111. The next prime is 211122301153. The reversal of 211122301130 is 31103221112.

211122301130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 211122301099 and 211122301108.

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, 30598421 + ... + 30605319.

It is an arithmetic number, because the mean of its divisors is an integer number (3456517050).

Almost surely, 2211122301130 is an apocalyptic number.

211122301130 is an abundant number, since it is smaller than the sum of its proper divisors (231311881270).

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

211122301130 is a wasteful number, since it uses less digits than its factorization.

211122301130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7224.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 211122301130 its reverse (31103221112), we get a palindrome (242225522242).

The spelling of 211122301130 in words is "two hundred eleven billion, one hundred twenty-two million, three hundred one thousand, one hundred thirty".

Divisors: 1 2 5 10 13 17 26 34 61 65 85 122 130 170 221 227 305 442 454 610 793 1037 1105 1135 1586 2074 2210 2270 2951 3859 3965 5185 5902 6899 7718 7930 10370 13481 13798 13847 14755 19295 26962 27694 29510 34495 38590 50167 67405 68990 69235 89687 100334 117283 134810 138470 179374 180011 234566 235399 250835 360022 420839 448435 470798 501670 586415 841678 896870 900055 1172830 1176995 1524679 1566073 1800110 2104195 2353990 3049358 3060187 3132146 4208390 5470907 6120374 7154263 7623395 7830365 10941814 14308526 15246790 15300935 15660730 20358949 26623241 27354535 30601870 35771315 40717898 53246482 54709070 71542630 93005419 95530453 101794745 133116205 186010838 191060906 203589490 266232410 346102133 465027095 477652265 692204266 930054190 955304530 1241895889 1624017701 1730510665 2483791778 3248035402 3461021330 6209479445 8120088505 12418958890 16240177010 21112230113 42224460226 105561150565 211122301130