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211110344134020 = 223254727790086431
BaseRepresentation
bin110000000000000011110101…
…000100100000110110000100
31000200110221200212020112101100
4300000003311010200312010
5210132312441044242040
62024554430410500100
762316135062254602
oct6000036504406604
91020427625215340
10211110344134020
11612a24376a0351
121b816723134630
1390a480a291016
143a1bb1bd60872
1519616e7b6bb30
hexc000f5120d84

211110344134020 has 144 divisors (see below), whose sum is σ = 656353888339968. Its totient is φ = 54899391133440.

The previous prime is 211110344134009. The next prime is 211110344134021. The reversal of 211110344134020 is 20431443011112.

It is a happy number.

211110344134020 is a `hidden beast` number, since 2 + 111 + 103 + 4 + 41 + 3 + 402 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (211110344134021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42699796 + ... + 47386635.

It is an arithmetic number, because the mean of its divisors is an integer number (4558013113472).

Almost surely, 2211110344134020 is an apocalyptic number.

211110344134020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211110344134020 is an abundant number, since it is smaller than the sum of its proper divisors (445243544205948).

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

211110344134020 is a wasteful number, since it uses less digits than its factorization.

211110344134020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90086770 (or 90086765 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 211110344134020 its reverse (20431443011112), we get a palindrome (231541787145132).

The spelling of 211110344134020 in words is "two hundred eleven trillion, one hundred ten billion, three hundred forty-four million, one hundred thirty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 277 282 423 470 554 564 705 831 846 940 1108 1385 1410 1662 1692 2115 2493 2770 2820 3324 4155 4230 4986 5540 8310 8460 9972 12465 13019 16620 24930 26038 39057 49860 52076 65095 78114 117171 130190 156228 195285 234342 260380 390570 468684 585855 781140 1171710 2343420 90086431 180172862 270259293 360345724 450432155 540518586 810777879 900864310 1081037172 1351296465 1621555758 1801728620 2702592930 3243111516 4053889395 4234062257 5405185860 8107778790 8468124514 12702186771 16215557580 16936249028 21170311285 24953941387 25404373542 38106560313 42340622570 49907882774 50808747084 63510933855 74861824161 76213120626 84681245140 99815765548 124769706935 127021867710 149723648322 152426241252 190532801565 224585472483 249539413870 254043735420 299447296644 374309120805 381065603130 449170944966 499078827740 748618241610 762131206260 898341889932 1122927362415 1172835245189 1497236483220 2245854724830 2345670490378 3518505735567 4491709449660 4691340980756 5864176225945 7037011471134 10555517206701 11728352451890 14074022942268 17592528677835 21111034413402 23456704903780 35185057355670 42222068826804 52777586033505 70370114711340 105555172067010 211110344134020