Search a number
-
+
10271372229 = 328091410709
BaseRepresentation
bin10011001000011100…
…01011001111000101
3222111211101202211200
421210032023033011
5132013432402404
64415115053113
7512351136426
oct114416131705
928454352750
1010271372229
1143a0a15a88
121ba7a41199
13c78ca3a61
146d620364d
15401b14839
hex26438b3c5

10271372229 has 12 divisors (see below), whose sum is σ = 14854776300. Its totient is φ = 6839112384.

The previous prime is 10271372227. The next prime is 10271372233. The reversal of 10271372229 is 92227317201.

10271372229 is a `hidden beast` number, since 10 + 271 + 372 + 2 + 2 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8490701025 + 1780671204 = 92145^2 + 42198^2 .

It is not a de Polignac number, because 10271372229 - 21 = 10271372227 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10271372193 and 10271372202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10271372227) 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, 698074 + ... + 712635.

It is an arithmetic number, because the mean of its divisors is an integer number (1237898025).

Almost surely, 210271372229 is an apocalyptic number.

It is an amenable number.

10271372229 is a deficient number, since it is larger than the sum of its proper divisors (4583404071).

10271372229 is a wasteful number, since it uses less digits than its factorization.

10271372229 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411524 (or 1411521 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 10271372229 in words is "ten billion, two hundred seventy-one million, three hundred seventy-two thousand, two hundred twenty-nine".

Divisors: 1 3 9 809 2427 7281 1410709 4232127 12696381 1141263581 3423790743 10271372229