Search a number
-
+
323114430431 = 132310597101977
BaseRepresentation
bin1001011001110110001…
…11101110111111011111
31010220000101210202101002
410230323013232333133
520243214243233211
6404234155340515
732226035225342
oct4547307567737
91126011722332
10323114430431
11115039743a71
125275645173b
1324614814890
14118d2cda459
158611a7403b
hex4b3b1eefdf

323114430431 has 16 divisors (see below), whose sum is σ = 363136315584. Its totient is φ = 285261951744.

The previous prime is 323114430421. The next prime is 323114430461. The reversal of 323114430431 is 134034411323.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-323114430431 is a prime.

It is a super-2 number, since 2×3231144304312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 323114430394 and 323114430403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323114430421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3117515 + ... + 3219491.

It is an arithmetic number, because the mean of its divisors is an integer number (22696019724).

Almost surely, 2323114430431 is an apocalyptic number.

323114430431 is a deficient number, since it is larger than the sum of its proper divisors (40021885153).

323114430431 is a wasteful number, since it uses less digits than its factorization.

323114430431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112610.

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 323114430431 its reverse (134034411323), we get a palindrome (457148841754).

The spelling of 323114430431 in words is "three hundred twenty-three billion, one hundred fourteen million, four hundred thirty thousand, four hundred thirty-one".

Divisors: 1 13 23 299 10597 101977 137761 243731 1325701 2345471 3168503 30491123 1080650269 14048453497 24854956187 323114430431