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11011020200010 = 232589216999091
BaseRepresentation
bin1010000000111011001111…
…1100101001100001001010
31102222122100221002211202100
42200032303330221201022
52420401032132400020
635230220504414230
72214343226300325
oct240166374514112
942878327084670
1011011020200010
113565824934326
12129a014477376
1361b4475a1b6c
142a0d16dc37bc
1514164ddd8a90
hexa03b3f2984a

11011020200010 has 144 divisors (see below), whose sum is σ = 28974165573600. Its totient is φ = 2901252245760.

The previous prime is 11011020199973. The next prime is 11011020200057. The reversal of 11011020200010 is 1000202011011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11011020199965 and 11011020200001.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1211195565 + ... + 1211204655.

It is an arithmetic number, because the mean of its divisors is an integer number (201209483150).

Almost surely, 211011020200010 is an apocalyptic number.

11011020200010 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 11011020200010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14487082786800).

11011020200010 is an abundant number, since it is smaller than the sum of its proper divisors (17963145373590).

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

11011020200010 is a wasteful number, since it uses less digits than its factorization.

11011020200010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10981 (or 10889 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11011020200010 its reverse (1000202011011), we get a palindrome (12011222211021).

The spelling of 11011020200010 in words is "eleven trillion, eleven billion, twenty million, two hundred thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 89 90 178 267 445 534 801 890 1335 1602 1699 2670 3398 4005 5097 7921 8010 8495 9091 10194 15291 15842 16990 18182 23763 25485 27273 30582 39605 45455 47526 50970 54546 71289 76455 79210 81819 90910 118815 136365 142578 151211 152910 163638 237630 272730 302422 356445 409095 453633 712890 756055 809099 818190 907266 1360899 1512110 1618198 2268165 2427297 2721798 4045495 4536330 4854594 6804495 7281891 8090990 12136485 13457779 13608990 14563782 15445609 24272970 26915558 30891218 36409455 40373337 46336827 67288895 72009811 72818910 77228045 80746674 92673654 121120011 134577790 139010481 144019622 154456090 201866685 216029433 231684135 242240022 278020962 360049055 403733370 432058866 463368270 605600055 648088299 695052405 720098110 1080147165 1211200110 1296176598 1374659201 1390104810 2160294330 2749318402 3240441495 4123977603 6480882990 6873296005 8247955206 12371932809 13746592010 20619888015 24743865618 41239776030 61859664045 122344668889 123719328090 244689337778 367034006667 611723344445 734068013334 1101102020001 1223446688890 1835170033335 2202204040002 3670340066670 5505510100005 11011020200010