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11011222211020 = 2254374399117389
BaseRepresentation
bin1010000000111011111111…
…1111010000100111001100
31102222122220000020001202121
42200032333333100213030
52420401440341223040
635230252522302324
72214351231331603
oct240167777204714
942878800201677
1011011222211020
113565918970179
12129a0700579a4
1361b47a3b15c5
142a0d35b6aa3a
151416619ddc4a
hexa03bffd09cc

11011222211020 has 96 divisors (see below), whose sum is σ = 23718441922560. Its totient is φ = 4291686685440.

The previous prime is 11011222210993. The next prime is 11011222211023. The reversal of 11011222211020 is 2011222211011.

It is a junction number, because it is equal to n+sod(n) for n = 11011222210985 and 11011222211003.

It is not an unprimeable number, because it can be changed into a prime (11011222211023) 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, 633220486 + ... + 633237874.

It is an arithmetic number, because the mean of its divisors is an integer number (247067103360).

Almost surely, 211011222211020 is an apocalyptic number.

11011222211020 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 11011222211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11859220961280).

11011222211020 is an abundant number, since it is smaller than the sum of its proper divisors (12707219711540).

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

11011222211020 is a wasteful number, since it uses less digits than its factorization.

11011222211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19175 (or 19173 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11011222211020 its reverse (2011222211011), we get a palindrome (13022444422031).

Subtracting from 11011222211020 its reverse (2011222211011), we obtain a palindrome (9000000000009).

The spelling of 11011222211020 in words is "eleven trillion, eleven billion, two hundred twenty-two million, two hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 743 860 991 1486 1982 2972 3715 3964 4955 7430 9910 14860 17389 19820 31949 34778 42613 63898 69556 85226 86945 127796 159745 170452 173890 213065 319490 347780 426130 638980 736313 747727 852260 1472626 1495454 2945252 2990908 3681565 3738635 7363130 7477270 12920027 14726260 14954540 17232499 25840054 31661459 34464998 51680108 63322918 64600135 68929996 86162495 126645836 129200270 158307295 172324990 258400540 316614590 344649980 555561161 633229180 740997457 1111122322 1481994914 2222244644 2777805805 2963989828 3704987285 5555611610 7409974570 11111223220 12803746757 14819949140 25607493514 51214987028 64018733785 128037467570 256074935140 550561110551 1101122221102 2202244442204 2752805552755 5505611105510 11011222211020