Search a number
-
+
312334234031 = 107179103115817
BaseRepresentation
bin1001000101110001001…
…00100011000110101111
31002212012002222000222202
410202320210203012233
520104130030442111
6355252342332115
731364635120331
oct4427044430657
91085162860882
10312334234031
11110507594946
125064812a03b
13235b72b9441
141118d2c5451
1581d0451b3b
hex48b89231af

312334234031 has 16 divisors (see below), whose sum is σ = 317341981440. Its totient is φ = 307368776640.

The previous prime is 312334234019. The next prime is 312334234097. The reversal of 312334234031 is 130432433213.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312334234031 is a prime.

It is a super-2 number, since 2×3123342340312 (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 = 312334233985 and 312334234003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312334224031) 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, 19738835 + ... + 19754651.

It is an arithmetic number, because the mean of its divisors is an integer number (19833873840).

Almost surely, 2312334234031 is an apocalyptic number.

312334234031 is a deficient number, since it is larger than the sum of its proper divisors (5007747409).

312334234031 is a wasteful number, since it uses less digits than its factorization.

312334234031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17134.

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 312334234031 its reverse (130432433213), we get a palindrome (442766667244).

The spelling of 312334234031 in words is "three hundred twelve billion, three hundred thirty-four million, two hundred thirty-four thousand, thirty-one".

Divisors: 1 107 179 1031 15817 19153 110317 184549 1692419 2831243 16307327 19746743 302943001 1744883989 2919011533 312334234031