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1020130123121 = 9747932194201
BaseRepresentation
bin11101101100001000111…
…11100101110101110001
310121112010121210122002122
432312010133211311301
5113203211302414441
62100350304524025
7133462526655434
oct16660437456561
93545117718078
101020130123121
113636a895038a
1214585b620615
1375275902cb5
1437535b2181b
151b808b3734b
hexed847e5d71

1020130123121 has 8 divisors (see below), whose sum is σ = 1030862430024. Its totient is φ = 1009402214400.

The previous prime is 1020130123091. The next prime is 1020130123141. The reversal of 1020130123121 is 1213210310201.

It can be written as a sum of positive squares in 4 ways, for example, as 605182864225 + 414947258896 = 777935^2 + 644164^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1020130123121 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1020130123121.

It is not an unprimeable number, because it can be changed into a prime (1020130123141) 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 7 ways as a sum of consecutive naturals, for example, 632180 + ... + 1562021.

It is an arithmetic number, because the mean of its divisors is an integer number (128857803753).

Almost surely, 21020130123121 is an apocalyptic number.

It is an amenable number.

1020130123121 is a deficient number, since it is larger than the sum of its proper divisors (10732306903).

1020130123121 is an equidigital number, since it uses as much as digits as its factorization.

1020130123121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199091.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1020130123121 its reverse (1213210310201), we get a palindrome (2233340433322).

The spelling of 1020130123121 in words is "one trillion, twenty billion, one hundred thirty million, one hundred twenty-three thousand, one hundred twenty-one".

Divisors: 1 97 4793 464921 2194201 212837497 10516805393 1020130123121