Search a number
-
+
1020132020431 = 4157743121783
BaseRepresentation
bin11101101100001001001…
…10110101000011001111
310121112010202101000201101
432312010212311003033
5113203212244123211
62100350413323531
7133462552050106
oct16660446650317
93545122330641
101020132020431
113636a9a26907
121458601965a7
1375276118774
143753609703d
151b808dae5c1
hexed849b50cf

1020132020431 has 8 divisors (see below), whose sum is σ = 1046824428384. Its totient is φ = 993525857280.

The previous prime is 1020132020387. The next prime is 1020132020443. The reversal of 1020132020431 is 1340202310201.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 1020132020431 - 29 = 1020132019919 is a prime.

It is a super-2 number, since 2×10201320204312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1020132020399 and 1020132020408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020132120431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21537235 + ... + 21584548.

It is an arithmetic number, because the mean of its divisors is an integer number (130853053548).

Almost surely, 21020132020431 is an apocalyptic number.

1020132020431 is a deficient number, since it is larger than the sum of its proper divisors (26692407953).

1020132020431 is an equidigital number, since it uses as much as digits as its factorization.

1020132020431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43122401.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 1020132020431 its reverse (1340202310201), we get a palindrome (2360334330632).

The spelling of 1020132020431 in words is "one trillion, twenty billion, one hundred thirty-two million, twenty thousand, four hundred thirty-one".

Divisors: 1 41 577 23657 43121783 1767993103 24881268791 1020132020431