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1000221112 = 2311174391523
BaseRepresentation
bin111011100111100…
…010100110111000
32120201002111102101
4323213202212320
54022024033422
6243130113144
733533511352
oct7347424670
92521074371
101000221112
11473664a20
1223ab7b7b4
1312c2b6a17
1496ba80d2
155cc26c27
hex3b9e29b8

1000221112 has 64 divisors (see below), whose sum is σ = 2172614400. Its totient is φ = 426647040.

The previous prime is 1000221109. The next prime is 1000221137. The reversal of 1000221112 is 2111220001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 655983 + ... + 657505.

It is an arithmetic number, because the mean of its divisors is an integer number (33947100).

Almost surely, 21000221112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086307200).

1000221112 is an abundant number, since it is smaller than the sum of its proper divisors (1172393288).

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

1000221112 is a wasteful number, since it uses less digits than its factorization.

1000221112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1996 (or 1992 counting only the distinct ones).

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

The square root of 1000221112 is about 31626.2724961384. The cubic root of 1000221112 is about 1000.0736985684.

Adding to 1000221112 its reverse (2111220001), we get a palindrome (3111441113).

The spelling of 1000221112 in words is "one billion, two hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 374 439 748 878 1496 1523 1756 3046 3512 4829 6092 7463 9658 12184 14926 16753 19316 25891 29852 33506 38632 51782 59704 67012 82093 103564 134024 164186 207128 284801 328372 569602 656744 668597 1139204 1337194 2278408 2674388 5348776 7354567 11366149 14709134 22732298 29418268 45464596 58836536 90929192 125027639 250055278 500110556 1000221112