Search a number
-
+
1020130021001 = 71359190003729
BaseRepresentation
bin11101101100001000111…
…11001100111010001001
310121112010121121110000102
432312010133030322021
5113203211241133001
62100350302415145
7133462526051630
oct16660437147211
93545117543012
101020130021001
113636a8890693
1214585b5914b5
1375275898680
1437535ad6517
151b808b16e6b
hexed847cce89

1020130021001 has 16 divisors (see below), whose sum is σ = 1276825065600. Its totient is φ = 793455568128.

The previous prime is 1020130020941. The next prime is 1020130021019. The reversal of 1020130021001 is 1001200310201.

It is a cyclic number.

It is not a de Polignac number, because 1020130021001 - 230 = 1019056279177 is a prime.

It is a super-3 number, since 3×10201300210013 (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1020130021051) 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, 94996496 + ... + 95007233.

It is an arithmetic number, because the mean of its divisors is an integer number (79801566600).

Almost surely, 21020130021001 is an apocalyptic number.

It is an amenable number.

1020130021001 is a deficient number, since it is larger than the sum of its proper divisors (256695044599).

1020130021001 is a wasteful number, since it uses less digits than its factorization.

1020130021001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190003808.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 1020130021001 its reverse (1001200310201), we get a palindrome (2021330331202).

The spelling of 1020130021001 in words is "one trillion, twenty billion, one hundred thirty million, twenty-one thousand, one".

Divisors: 1 7 13 59 91 413 767 5369 190003729 1330026103 2470048477 11210220011 17290339339 78471540077 145732860143 1020130021001