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1221140312141 = 28137330833779
BaseRepresentation
bin10001110001010001101…
…000100111000001001101
311022201222100221020102012
4101301101220213001031
5130001343404442031
62332552322511005
7154136665251101
oct21612150470115
94281870836365
101221140312141
11430978964542
121787b9505465
138b1cb2b8c49
1443164043901
1521b70b01b2b
hex11c51a2704d

1221140312141 has 16 divisors (see below), whose sum is σ = 1229495319360. Its totient is φ = 1212817791360.

The previous prime is 1221140312131. The next prime is 1221140312153. The reversal of 1221140312141 is 1412130411221.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1221140312141 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221140312131) by changing a digit.

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, 323136590 + ... + 323140368.

It is an arithmetic number, because the mean of its divisors is an integer number (76843457460).

Almost surely, 21221140312141 is an apocalyptic number.

It is an amenable number.

1221140312141 is a deficient number, since it is larger than the sum of its proper divisors (8355007219).

1221140312141 is a wasteful number, since it uses less digits than its factorization.

1221140312141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7516.

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 1221140312141 its reverse (1412130411221), we get a palindrome (2633270723362).

The spelling of 1221140312141 in words is "one trillion, two hundred twenty-one billion, one hundred forty million, three hundred twelve thousand, one hundred forty-one".

Divisors: 1 281 373 3083 3779 104813 866323 1061899 1149959 1409567 11650657 323138479 396088327 3273834617 4345695061 1221140312141