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1002223155141 = 321373981711953
BaseRepresentation
bin11101001010110010010…
…01111011011111000101
310112210220122200102000100
432211121021323133011
5112410023111431031
62044225344234313
7132260011154625
oct16453111733705
93483818612010
101002223155141
1135704993029a
121422a260b999
1373680a46760
14367177d0885
151b10ba08de6
hexe95927b7c5

1002223155141 has 48 divisors (see below), whose sum is σ = 1580663362096. Its totient is φ = 608191193088.

The previous prime is 1002223155133. The next prime is 1002223155151. The reversal of 1002223155141 is 1415513222001.

It is a happy number.

1002223155141 is a `hidden beast` number, since 100 + 2 + 2 + 2 + 3 + 1 + 551 + 4 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 172283935041 + 829939220100 = 415071^2 + 911010^2 .

It is not a de Polignac number, because 1002223155141 - 23 = 1002223155133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002223155121) 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 47 ways as a sum of consecutive naturals, for example, 83841021 + ... + 83852973.

Almost surely, 21002223155141 is an apocalyptic number.

It is an amenable number.

1002223155141 is a deficient number, since it is larger than the sum of its proper divisors (578440206955).

1002223155141 is a wasteful number, since it uses less digits than its factorization.

1002223155141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21862 (or 21859 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 1002223155141 its reverse (1415513222001), we get a palindrome (2417736377142).

The spelling of 1002223155141 in words is "one trillion, two billion, two hundred twenty-three million, one hundred fifty-five thousand, one hundred forty-one".

Divisors: 1 3 9 13 39 73 117 219 657 949 2847 8541 9817 11953 29451 35859 88353 107577 127621 155389 382863 466167 716641 872569 1148589 1398501 2149923 2617707 6449769 7853121 9316333 11343397 27948999 34030191 83846997 102090573 117342601 352027803 1056083409 1525453813 4576361439 8566009873 13729084317 25698029619 77094088857 111358128349 334074385047 1002223155141