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1106216020 = 2257132920959
BaseRepresentation
bin100000111101111…
…1000010001010100
32212002112121002201
41001323320101110
54231142403040
6301434014244
736261452410
oct10173702124
92762477081
101106216020
11518480518
1226a577384
131482490c0
14a6cb9d40
15671b2a9a
hex41ef8454

1106216020 has 96 divisors (see below), whose sum is σ = 2957875200. Its totient is φ = 338010624.

The previous prime is 1106216011. The next prime is 1106216021. The reversal of 1106216020 is 206126011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106216021) 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, 42301 + ... + 63259.

It is an arithmetic number, because the mean of its divisors is an integer number (30811200).

Almost surely, 21106216020 is an apocalyptic number.

1106216020 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 1106216020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478937600).

1106216020 is an abundant number, since it is smaller than the sum of its proper divisors (1851659180).

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

1106216020 is a wasteful number, since it uses less digits than its factorization.

1106216020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21017 (or 21015 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 1106216020 is about 33259.8259165619. The cubic root of 1106216020 is about 1034.2209108888.

Subtracting from 1106216020 its reverse (206126011), we obtain a palindrome (900090009).

The spelling of 1106216020 in words is "one billion, one hundred six million, two hundred sixteen thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 29 35 52 58 65 70 91 116 130 140 145 182 203 260 290 364 377 406 455 580 754 812 910 1015 1508 1820 1885 2030 2639 3770 4060 5278 7540 10556 13195 20959 26390 41918 52780 83836 104795 146713 209590 272467 293426 419180 544934 586852 607811 733565 1089868 1215622 1362335 1467130 1907269 2431244 2724670 2934260 3039055 3814538 4254677 5449340 6078110 7629076 7901543 8509354 9536345 12156220 15803086 17018708 19072690 21273385 31606172 38145380 39507715 42546770 55310801 79015430 85093540 110621602 158030860 221243204 276554005 553108010 1106216020