Search a number
-
+
10132870469089 = 1012315172
BaseRepresentation
bin1001001101110011111000…
…1001010001010111100001
31022212200201011110102210011
42103130332021101113201
52312004104320002324
633314550524204521
72064034655606224
oct223347611212741
938780634412704
1010132870469089
113257365242055
121177999999741
135866aa931474
1427060d9235bb
151288a4cb0c94
hex9373e2515e1

10132870469089 has 9 divisors (see below), whose sum is σ = 10234513970521. Its totient is φ = 10032226697200.

The previous prime is 10132870469063. The next prime is 10132870469149. The reversal of 10132870469089 is 98096407823101.

The square root of 10132870469089 is 3183217.

It is a perfect power (a square), and thus also a powerful number.

10132870469089 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 4 ways, for example, as 260656197025 + 9872214272064 = 510545^2 + 3142008^2 .

It is not a de Polignac number, because 10132870469089 - 215 = 10132870436321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10132870469389) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 321489159 + ... + 321520675.

Almost surely, 210132870469089 is an apocalyptic number.

10132870469089 is the 3183217-th square number.

10132870469089 is the 1591609-th centered octagonal number.

It is an amenable number.

10132870469089 is a deficient number, since it is larger than the sum of its proper divisors (101643501432).

10132870469089 is an frugal number, since it uses more digits than its factorization.

10132870469089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63236 (or 31618 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 58.

The spelling of 10132870469089 in words is "ten trillion, one hundred thirty-two billion, eight hundred seventy million, four hundred sixty-nine thousand, eighty-nine".

Divisors: 1 101 10201 31517 3183217 321504917 993321289 100325450189 10132870469089