Search a number
-
+
312122312232031 = 7257214380960183
BaseRepresentation
bin100011011110111111010001…
…1100011000000110001011111
31111221010121020121001212012101
41012331332203203000301133
5311402302443412411111
63023455002153545531
7122513043602353210
oct10675764343006137
91457117217055171
10312122312232031
11904a7369274604
122b00b48aa152a7
13105210140476a2
145710b2c891407
15261403e720bc1
hex11bdfa38c0c5f

312122312232031 has 16 divisors (see below), whose sum is σ = 358266301599744. Its totient is φ = 266368066320384.

The previous prime is 312122312232013. The next prime is 312122312232047. The reversal of 312122312232031 is 130232213221213.

It is not a de Polignac number, because 312122312232031 - 217 = 312122312100959 is a prime.

It is a super-2 number, since 2×3121223122320312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312122312272031) 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, 36624835 + ... + 44335348.

It is an arithmetic number, because the mean of its divisors is an integer number (22391643849984).

Almost surely, 2312122312232031 is an apocalyptic number.

312122312232031 is a deficient number, since it is larger than the sum of its proper divisors (46143989367713).

312122312232031 is a wasteful number, since it uses less digits than its factorization.

312122312232031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80962590.

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 312122312232031 its reverse (130232213221213), we get a palindrome (442354525453244).

The spelling of 312122312232031 in words is "three hundred twelve trillion, one hundred twenty-two billion, three hundred twelve million, two hundred thirty-two thousand, thirty-one".

Divisors: 1 7 257 1799 2143 15001 550751 3855257 80960183 566721281 20806767031 145647369217 173497672169 1214483705183 44588901747433 312122312232031