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11211111021020 = 22541193523135449
BaseRepresentation
bin1010001100100100101001…
…0010100011100111011100
31110200202211121021201020212
42203021022102203213130
52432140323410133040
635502151401231552
72234655532226531
oct243111222434734
943622747251225
1011211111021020
113632672997709
1213109564925b8
1363428466c881
142aa899186d88
151469602ecd65
hexa324a4a39dc

11211111021020 has 96 divisors (see below), whose sum is σ = 24289054372800. Its totient is φ = 4344044912640.

The previous prime is 11211111020987. The next prime is 11211111021023. The reversal of 11211111021020 is 2012011111211.

It is a super-2 number, since 2×112111110210202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11211111020986 and 11211111021004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11211111021023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82702256 + ... + 82837704.

It is an arithmetic number, because the mean of its divisors is an integer number (253010983050).

Almost surely, 211211111021020 is an apocalyptic number.

11211111021020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11211111021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12144527186400).

11211111021020 is an abundant number, since it is smaller than the sum of its proper divisors (13077943351780).

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

11211111021020 is a wasteful number, since it uses less digits than its factorization.

11211111021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136215 (or 136213 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 11211111021020 its reverse (2012011111211), we get a palindrome (13223122132231).

The spelling of 11211111021020 in words is "eleven trillion, two hundred eleven billion, one hundred eleven million, twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 193 205 386 410 523 772 820 965 1046 1930 2092 2615 3860 5230 7913 10460 15826 21443 31652 39565 42886 79130 85772 100939 107215 135449 158260 201878 214430 270898 403756 428860 504695 541796 677245 1009390 1354490 2018780 2708980 4138499 5553409 8276998 11106818 16553996 20692495 22213636 26141657 27767045 41384990 52283314 55534090 70839827 82769980 104566628 111068180 130708285 141679654 261416570 283359308 354199135 522833140 708398270 1071807937 1416796540 2143615874 2904432907 4287231748 5359039685 5808865814 10718079370 11617731628 13672086611 14522164535 21436158740 27344173222 29044329070 54688346444 58088658140 68360433055 136720866110 273441732220 560555551051 1121111102102 2242222204204 2802777755255 5605555510510 11211111021020