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1220202131301 = 32149909919561
BaseRepresentation
bin10001110000011001101…
…101101110111101100101
311022122112222120201020200
4101300121231232331211
5124442433221200201
62332315250221113
7154104513662016
oct21603155567545
94278488521220
101220202131301
1143053732437a
12178597284799
138b0abb14a5a
14430b55c900d
1521b18582386
hex11c19b6ef65

1220202131301 has 12 divisors (see below), whose sum is σ = 1774343145900. Its totient is φ = 808008569280.

The previous prime is 1220202131273. The next prime is 1220202131381. The reversal of 1220202131301 is 1031312020221.

1220202131301 is a `hidden beast` number, since 12 + 20 + 202 + 131 + 301 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39046155201 + 1181155976100 = 197601^2 + 1086810^2 .

It is not a de Polignac number, because 1220202131301 - 218 = 1220201869157 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220202131381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 454958440 + ... + 454961121.

It is an arithmetic number, because the mean of its divisors is an integer number (147861928825).

Almost surely, 21220202131301 is an apocalyptic number.

It is an amenable number.

1220202131301 is a deficient number, since it is larger than the sum of its proper divisors (554141014599).

1220202131301 is a wasteful number, since it uses less digits than its factorization.

1220202131301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909919716 (or 909919713 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1220202131301 its reverse (1031312020221), we get a palindrome (2251514151522).

The spelling of 1220202131301 in words is "one trillion, two hundred twenty billion, two hundred two million, one hundred thirty-one thousand, three hundred one".

Divisors: 1 3 9 149 447 1341 909919561 2729758683 8189276049 135578014589 406734043767 1220202131301