Search a number
-
+
10312410213 = 337211125847
BaseRepresentation
bin10011001101010101…
…01110010001100101
3222121200121201101000
421212222232101211
5132104434111323
64423142423513
7513360016620
oct114652562145
928550551330
1010312410213
1144120a5476
121bb9731b99
13c84641ba1
146db846db7
1540551de43
hex266aae465

10312410213 has 32 divisors (see below), whose sum is σ = 17469112320. Its totient is φ = 5889786480.

The previous prime is 10312410191. The next prime is 10312410221. The reversal of 10312410213 is 31201421301.

10312410213 is a `hidden beast` number, since 10 + 31 + 2 + 410 + 213 = 666.

10312410213 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10312410213 - 213 = 10312402021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10312410223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 386056 + ... + 411902.

It is an arithmetic number, because the mean of its divisors is an integer number (545909760).

Almost surely, 210312410213 is an apocalyptic number.

It is an amenable number.

10312410213 is a deficient number, since it is larger than the sum of its proper divisors (7156702107).

10312410213 is a wasteful number, since it uses less digits than its factorization.

10312410213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27974 (or 27968 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10312410213 its reverse (31201421301), we get a palindrome (41513831514).

The spelling of 10312410213 in words is "ten billion, three hundred twelve million, four hundred ten thousand, two hundred thirteen".

Divisors: 1 3 7 9 21 27 63 189 2111 6333 14777 18999 25847 44331 56997 77541 132993 180929 232623 398979 542787 697869 1628361 4885083 54563017 163689051 381941119 491067153 1145823357 1473201459 3437470071 10312410213