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1020440141101 = 17372935536933
BaseRepresentation
bin11101101100101101111…
…10001101110100101101
310121112221020011011211001
432312112332031310231
5113204330134003401
62100441141400301
7133503313041103
oct16662676156455
93545836134731
101020440141101
11363847947497
12145927409091
13752c4bca8a4
1437564d81c73
151b825e74601
hexed96f8dd2d

1020440141101 has 16 divisors (see below), whose sum is σ = 1113455279664. Its totient is φ = 931267666944.

The previous prime is 1020440141057. The next prime is 1020440141159. The reversal of 1020440141101 is 1011410440201.

It can be written as a sum of positive squares in 8 ways, for example, as 755291355625 + 265148785476 = 869075^2 + 514926^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020440141101 - 219 = 1020439616813 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020440141191) 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, 2584170 + ... + 2952763.

It is an arithmetic number, because the mean of its divisors is an integer number (69590954979).

Almost surely, 21020440141101 is an apocalyptic number.

It is an amenable number.

1020440141101 is a deficient number, since it is larger than the sum of its proper divisors (93015138563).

1020440141101 is a wasteful number, since it uses less digits than its factorization.

1020440141101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5537280.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 1020440141101 its reverse (1011410440201), we get a palindrome (2031850581302).

The spelling of 1020440141101 in words is "one trillion, twenty billion, four hundred forty million, one hundred forty-one thousand, one hundred one".

Divisors: 1 17 37 293 629 4981 10841 184297 5536933 94127861 204866521 1622321369 3482730857 27579463273 60025890653 1020440141101