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1100012221 = 721112591621
BaseRepresentation
bin100000110010000…
…1101101010111101
32211122212102002101
41001210031222331
54223100342341
6301053025101
736154643500
oct10144155275
92748772071
101100012221
11514a23510
12268485191
13146b86409
14a6143137
1566889831
hex4190dabd

1100012221 has 24 divisors (see below), whose sum is σ = 1397904480. Its totient is φ = 855943200.

The previous prime is 1100012219. The next prime is 1100012267. The reversal of 1100012221 is 1222100011.

It is not a de Polignac number, because 1100012221 - 21 = 1100012219 is a prime.

1100012221 is a modest number, since divided by 12221 gives 11 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 1100012198 and 1100012207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100012281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 677791 + ... + 679411.

It is an arithmetic number, because the mean of its divisors is an integer number (58246020).

Almost surely, 21100012221 is an apocalyptic number.

1100012221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1100012221 is a deficient number, since it is larger than the sum of its proper divisors (297892259).

1100012221 is a wasteful number, since it uses less digits than its factorization.

1100012221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2905 (or 2898 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1100012221 is about 33166.4321415494. The cubic root of 1100012221 is about 1032.2839383196.

Adding to 1100012221 its reverse (1222100011), we get a palindrome (2322112232).

The spelling of 1100012221 in words is "one billion, one hundred million, twelve thousand, two hundred twenty-one".

Divisors: 1 7 11 49 77 539 1259 1621 8813 11347 13849 17831 61691 79429 96943 124817 678601 873719 2040839 14285873 22449229 100001111 157144603 1100012221