Search a number
-
+
10230212331 = 33101109127271
BaseRepresentation
bin10011000011100010…
…01010011011101011
3222101221221122002000
421201301022123223
5131422413243311
64411044542043
7511341240633
oct114161123353
928357848060
1010230212331
11437a762a39
121b960b1923
13c705c22a1
146d096b6c3
153ed1d4056
hex261c4a6eb

10230212331 has 64 divisors (see below), whose sum is σ = 15625420800. Its totient is φ = 6613488000.

The previous prime is 10230212273. The next prime is 10230212359. The reversal of 10230212331 is 13321203201.

10230212331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10230212331 - 211 = 10230210283 is a prime.

It is a super-2 number, since 2×102302123312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10230216331) 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 63 ways as a sum of consecutive naturals, for example, 37749726 + ... + 37749996.

It is an arithmetic number, because the mean of its divisors is an integer number (244147200).

Almost surely, 210230212331 is an apocalyptic number.

10230212331 is a deficient number, since it is larger than the sum of its proper divisors (5395208469).

10230212331 is a wasteful number, since it uses less digits than its factorization.

10230212331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10230212331 its reverse (13321203201), we get a palindrome (23551415532).

The spelling of 10230212331 in words is "ten billion, two hundred thirty million, two hundred twelve thousand, three hundred thirty-one".

Divisors: 1 3 9 27 101 109 127 271 303 327 381 813 909 981 1143 2439 2727 2943 3429 7317 11009 12827 13843 27371 29539 33027 34417 38481 41529 82113 88617 99081 103251 115443 124587 246339 265851 297243 309753 346329 373761 739017 797553 929259 1398143 2983439 3476117 3751453 4194429 8950317 10428351 11254359 12583287 26850951 31285053 33763077 37749861 80552853 93855159 101289231 378896753 1136690259 3410070777 10230212331