Search a number
-
+
10214310431 = 131495273263
BaseRepresentation
bin10011000001101001…
…00000001000011111
3222100212000201202202
421200310200020133
5131404330413211
64405320042115
7511056130463
oct114064401037
928325021682
1010214310431
114371791676
121b9090333b
13c6a215290
146cc7cc4a3
153ebae253b
hex260d2021f

10214310431 has 8 divisors (see below), whose sum is σ = 11073854400. Its totient is φ = 9365313312.

The previous prime is 10214310401. The next prime is 10214310479. The reversal of 10214310431 is 13401341201.

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 10214310431 - 26 = 10214310367 is a prime.

It is a super-2 number, since 2×102143104312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10214310401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2634695 + ... + 2638568.

It is an arithmetic number, because the mean of its divisors is an integer number (1384231800).

Almost surely, 210214310431 is an apocalyptic number.

10214310431 is a deficient number, since it is larger than the sum of its proper divisors (859543969).

10214310431 is a wasteful number, since it uses less digits than its factorization.

10214310431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5273425.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10214310431 its reverse (13401341201), we get a palindrome (23615651632).

The spelling of 10214310431 in words is "ten billion, two hundred fourteen million, three hundred ten thousand, four hundred thirty-one".

Divisors: 1 13 149 1937 5273263 68552419 785716187 10214310431