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11101122020010 = 23511891559242447
BaseRepresentation
bin1010000110001010111001…
…1011110100001010101010
31110022020221021120112122210
42201202232123310022222
52423340044214120020
635335441323225550
72224013103156231
oct241425633641252
943266837515583
1011101122020010
11359aa60a7a280
1212b357b3782b6
13626aa6524159
142a5423627b18
15143b741793e0
hexa18ae6f42aa

11101122020010 has 128 divisors (see below), whose sum is σ = 29410300108800. Its totient is φ = 2659225310720.

The previous prime is 11101122020003. The next prime is 11101122020041. The reversal of 11101122020010 is 1002022110111.

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, 45666607 + ... + 45909053.

It is an arithmetic number, because the mean of its divisors is an integer number (229767969600).

Almost surely, 211101122020010 is an apocalyptic number.

11101122020010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11101122020010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14705150054400).

11101122020010 is an abundant number, since it is smaller than the sum of its proper divisors (18309178088790).

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

11101122020010 is a wasteful number, since it uses less digits than its factorization.

11101122020010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244116.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11101122020010 its reverse (1002022110111), we get a palindrome (12103144130121).

The spelling of 11101122020010 in words is "eleven trillion, one hundred one billion, one hundred twenty-two million, twenty thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 89 110 165 178 267 330 445 534 890 979 1335 1559 1958 2670 2937 3118 4677 4895 5874 7795 9354 9790 14685 15590 17149 23385 29370 34298 46770 51447 85745 102894 138751 171490 242447 257235 277502 416253 484894 514470 693755 727341 832506 1212235 1387510 1454682 1526261 2081265 2424470 2666917 3052522 3636705 4162530 4578783 5333834 7273410 7631305 8000751 9157566 13334585 15262610 16001502 21577783 22893915 26669170 40003755 43155566 45787830 64733349 80007510 107888915 129466698 215777830 237355613 323666745 377974873 474711226 647333490 712066839 755949746 1133924619 1186778065 1424133678 1889874365 2267849238 2373556130 3560334195 3779748730 4157723603 5669623095 7120668390 8315447206 11339246190 12473170809 20788618015 24946341618 33639763697 41577236030 62365854045 67279527394 100919291091 124731708090 168198818485 201838582182 336397636970 370037400667 504596455455 740074801334 1009192910910 1110112202001 1850187003335 2220224404002 3700374006670 5550561010005 11101122020010