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1348112221 = 31433373001
BaseRepresentation
bin101000001011010…
…1000111101011101
310110221201012022021
41100112220331131
510230104042341
6341434420141
745256523221
oct12026507535
93427635267
101348112221
11631a79735
12317591651
131863b2051
14cb086781
157d5459d1
hex505a8f5d

1348112221 has 16 divisors (see below), whose sum is σ = 1428663808. Its totient is φ = 1270080000.

The previous prime is 1348112219. The next prime is 1348112321. The reversal of 1348112221 is 1222118431.

It is a 5-Lehmer number, since φ(1348112221) divides (1348112221-1)5.

It is a cyclic number.

It is not a de Polignac number, because 1348112221 - 21 = 1348112219 is a prime.

It is a Duffinian number.

1348112221 is a modest number, since divided by 112221 gives 1348 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1348112321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 447721 + ... + 450721.

It is an arithmetic number, because the mean of its divisors is an integer number (89291488).

Almost surely, 21348112221 is an apocalyptic number.

It is an amenable number.

1348112221 is a deficient number, since it is larger than the sum of its proper divisors (80551587).

1348112221 is a wasteful number, since it uses less digits than its factorization.

1348112221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3412.

The product of its digits is 768, while the sum is 25.

The square root of 1348112221 is about 36716.6477364152. The cubic root of 1348112221 is about 1104.6940509623.

It can be divided in two parts, 1348 and 112221, that added together give a square (113569 = 3372).

The spelling of 1348112221 in words is "one billion, three hundred forty-eight million, one hundred twelve thousand, two hundred twenty-one".

Divisors: 1 31 43 337 1333 3001 10447 14491 93031 129043 449221 1011337 4000333 31351447 43487491 1348112221