Search a number
-
+
30414131 = 1131791129
BaseRepresentation
bin111010000000…
…1010100110011
32010020012100022
41310001110303
530241223011
63003514055
7516341636
oct164012463
963205308
1030414131
1116193650
12a22892b
1363bb637
144079c1d
152a0b8db
hex1d01533

30414131 has 16 divisors (see below), whose sum is σ = 34713600. Its totient is φ = 26395200.

The previous prime is 30414113. The next prime is 30414133. The reversal of 30414131 is 13141403.

It is a cyclic number.

It is not a de Polignac number, because 30414131 - 26 = 30414067 is a prime.

It is a super-2 number, since 2×304141312 = 1850038728970322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30414133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26375 + ... + 27503.

It is an arithmetic number, because the mean of its divisors is an integer number (2169600).

Almost surely, 230414131 is an apocalyptic number.

30414131 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

30414131 is a deficient number, since it is larger than the sum of its proper divisors (4299469).

30414131 is a wasteful number, since it uses less digits than its factorization.

30414131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 30414131 is about 5514.9008150646. The cubic root of 30414131 is about 312.1465007533.

Adding to 30414131 its reverse (13141403), we get a palindrome (43555534).

The spelling of 30414131 in words is "thirty million, four hundred fourteen thousand, one hundred thirty-one".

Divisors: 1 11 31 79 341 869 1129 2449 12419 26939 34999 89191 384989 981101 2764921 30414131