Search a number
-
+
31322431 = 7193171107
BaseRepresentation
bin111011101111…
…1000100111111
32011221100022001
41313133010333
531004304211
63035203131
7530144020
oct167370477
964840261
1031322431
1116754008
12a5a64a7
136648baa
144234c47
152b3aac1
hex1ddf13f

31322431 has 32 divisors (see below), whose sum is σ = 39813120. Its totient is φ = 24040800.

The previous prime is 31322429. The next prime is 31322437. The reversal of 31322431 is 13422313.

It is not a de Polignac number, because 31322431 - 21 = 31322429 is a prime.

It is a super-2 number, since 2×313224312 = 1962189367499522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31322399 and 31322408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31322437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 292680 + ... + 292786.

It is an arithmetic number, because the mean of its divisors is an integer number (1244160).

Almost surely, 231322431 is an apocalyptic number.

31322431 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

31322431 is a deficient number, since it is larger than the sum of its proper divisors (8490689).

31322431 is a wasteful number, since it uses less digits than its factorization.

31322431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235.

The product of its digits is 432, while the sum is 19.

The square root of 31322431 is about 5596.6446197700. The cubic root of 31322431 is about 315.2234276125.

Adding to 31322431 its reverse (13422313), we get a palindrome (44744744).

The spelling of 31322431 in words is "thirty-one million, three hundred twenty-two thousand, four hundred thirty-one".

Divisors: 1 7 19 31 71 107 133 217 497 589 749 1349 2033 2201 3317 4123 7597 9443 14231 15407 23219 41819 53179 63023 144343 235507 292733 441161 1010401 1648549 4474633 31322431