Search a number
-
+
312141420213021 = 3374735139189487
BaseRepresentation
bin100011011111001000001011…
…0011110001011001100011101
31111221012102120021002212102000
41012332100112132023030131
5311403111112033304041
63023511442220152513
7122514321243461460
oct10676202636131435
91457172507085360
10312141420213021
1190504484222533
122b013122098739
1310522a6a991509
145711a224d72d7
1526147abed9bb6
hex11be41678b31d

312141420213021 has 32 divisors (see below), whose sum is σ = 539737950535680. Its totient is φ = 174571493366448.

The previous prime is 312141420212953. The next prime is 312141420213041. The reversal of 312141420213021 is 120312024141213.

312141420213021 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 4 + 1 + 420 + 213 + 0 + 21 = 666.

It is not a de Polignac number, because 312141420213021 - 27 = 312141420212893 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312141420213041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17569585861 + ... + 17569603626.

It is an arithmetic number, because the mean of its divisors is an integer number (16866810954240).

Almost surely, 2312141420213021 is an apocalyptic number.

It is an amenable number.

312141420213021 is a deficient number, since it is larger than the sum of its proper divisors (227596530322659).

312141420213021 is a wasteful number, since it uses less digits than its factorization.

312141420213021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35139189550 (or 35139189544 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 312141420213021 its reverse (120312024141213), we get a palindrome (432453444354234).

The spelling of 312141420213021 in words is "three hundred twelve trillion, one hundred forty-one billion, four hundred twenty million, two hundred thirteen thousand, twenty-one".

Divisors: 1 3 7 9 21 27 47 63 141 189 329 423 987 1269 2961 8883 35139189487 105417568461 245974326409 316252705383 737922979227 948758116149 1651541905889 2213768937681 4954625717667 6641306813043 11560793341223 14863877153001 34682380023669 44591631459003 104047140071007 312141420213021