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1020132203301 = 32181626232169
BaseRepresentation
bin11101101100001001001…
…11100001101100100101
310121112010202201022120100
432312010213201230211
5113203212321001201
62100350421254313
7133462553441211
oct16660447415445
93545122638510
101020132203301
113636aa041242
12145860264399
1375276180a83
1437536103941
151b808de8886
hexed849e1b25

1020132203301 has 12 divisors (see below), whose sum is σ = 1481665314220. Its totient is φ = 676330741440.

The previous prime is 1020132203263. The next prime is 1020132203309. The reversal of 1020132203301 is 1033022310201.

1020132203301 is a `hidden beast` number, since 10 + 2 + 0 + 1 + 322 + 0 + 330 + 1 = 666.

1020132203301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 531287921025 + 488844282276 = 728895^2 + 699174^2 .

It is not a de Polignac number, because 1020132203301 - 213 = 1020132195109 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020132203309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 313114456 + ... + 313117713.

Almost surely, 21020132203301 is an apocalyptic number.

It is an amenable number.

1020132203301 is a deficient number, since it is larger than the sum of its proper divisors (461533110919).

1020132203301 is a wasteful number, since it uses less digits than its factorization.

1020132203301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626232356 (or 626232353 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1020132203301 its reverse (1033022310201), we get a palindrome (2053154513502).

The spelling of 1020132203301 in words is "one trillion, twenty billion, one hundred thirty-two million, two hundred three thousand, three hundred one".

Divisors: 1 3 9 181 543 1629 626232169 1878696507 5636089521 113348022589 340044067767 1020132203301