Search a number
-
+
312011323113 = 3724161650133
BaseRepresentation
bin1001000101001010101…
…00101111011011101001
31002211100121100110111010
410202211110233123221
520102444344314423
6355200325254133
731353634326150
oct4424524573351
91084317313433
10312011323113
11110361292116
1250577b64349
13235654292a9
141115c46a597
1581b1e19693
hex48a552f6e9

312011323113 has 16 divisors (see below), whose sum is σ = 477418637696. Its totient is φ = 177552380160.

The previous prime is 312011323087. The next prime is 312011323139. The reversal of 312011323113 is 311323110213.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (312011323087) and next prime (312011323139).

It is not a de Polignac number, because 312011323113 - 216 = 312011257577 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 312011323113.

It is not an unprimeable number, because it can be changed into a prime (312011323213) 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, 30820006 + ... + 30830127.

It is an arithmetic number, because the mean of its divisors is an integer number (29838664856).

Almost surely, 2312011323113 is an apocalyptic number.

It is an amenable number.

312011323113 is a deficient number, since it is larger than the sum of its proper divisors (165407314583).

312011323113 is a wasteful number, since it uses less digits than its factorization.

312011323113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61650384.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 312011323113 its reverse (311323110213), we get a palindrome (623334433326).

The spelling of 312011323113 in words is "three hundred twelve billion, eleven million, three hundred twenty-three thousand, one hundred thirteen".

Divisors: 1 3 7 21 241 723 1687 5061 61650133 184950399 431550931 1294652793 14857682053 44573046159 104003774371 312011323113