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211010120111000 = 2353797310766009
BaseRepresentation
bin101111111110100110011111…
…010000001101001110011000
31000200010101000002001122022202
4233332212133100031032120
5210124142211222023000
62024440413322105332
762305656325156010
oct5776463720151630
91020111002048282
10211010120111000
1161263986864461
121b7bb21234b248
1390982272359a2
143a16d31266c40
15195dccde2edd5
hexbfe99f40d398

211010120111000 has 128 divisors (see below), whose sum is σ = 570118891305600. Its totient is φ = 71600488243200.

The previous prime is 211010120110987. The next prime is 211010120111041. The reversal of 211010120111000 is 111021010112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154704005 + ... + 156062004.

It is an arithmetic number, because the mean of its divisors is an integer number (4454053838325).

Almost surely, 2211010120111000 is an apocalyptic number.

211010120111000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211010120111000 is an abundant number, since it is smaller than the sum of its proper divisors (359108771194600).

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

211010120111000 is a wasteful number, since it uses less digits than its factorization.

211010120111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310766134 (or 310766120 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 211010120111000 its reverse (111021010112), we get a palindrome (211121141121112).

The spelling of 211010120111000 in words is "two hundred eleven trillion, ten billion, one hundred twenty million, one hundred eleven thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 97 100 125 140 175 194 200 250 280 350 388 485 500 679 700 776 875 970 1000 1358 1400 1750 1940 2425 2716 3395 3500 3880 4850 5432 6790 7000 9700 12125 13580 16975 19400 24250 27160 33950 48500 67900 84875 97000 135800 169750 339500 679000 310766009 621532018 1243064036 1553830045 2175362063 2486128072 3107660090 4350724126 6215320180 7769150225 8701448252 10876810315 12430640360 15538300450 17402896504 21753620630 30144302873 31076600900 38845751125 43507241260 54384051575 60288605746 62153201800 77691502250 87014482520 108768103150 120577211492 150721514365 155383004500 211010120111 217536206300 241154422984 271920257875 301443028730 310766009000 422020240222 435072412600 543840515750 602886057460 753607571825 844040480444 1055050600555 1087681031500 1205772114920 1507215143650 1688080960888 2110101201110 2175362063000 3014430287300 3768037859125 4220202402220 5275253002775 6028860574600 7536075718250 8440404804440 10550506005550 15072151436500 21101012011100 26376265013875 30144302873000 42202024022200 52752530027750 105505060055500 211010120111000