Search a number
-
+
212042020131 = 3340531193763
BaseRepresentation
bin1100010101111010110…
…0000111010100100011
3202021022120110200122000
43011132230013110203
511433230224121011
6241224420215043
721214412301264
oct3053654072443
9667276420560
10212042020131
1181a21213157
123511853a483
1316cc30a6b86
14a39751a96b
1557b0745356
hex315eb07523

212042020131 has 16 divisors (see below), whose sum is σ = 314145697920. Its totient is φ = 141357129480.

The previous prime is 212042020093. The next prime is 212042020159. The reversal of 212042020131 is 131020240212.

It is a happy number.

212042020131 is a `hidden beast` number, since 2 + 12 + 0 + 420 + 201 + 31 = 666.

212042020131 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 212042020131 - 215 = 212041987363 is a prime.

It is a super-2 number, since 2×2120420201312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212042020031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 997456 + ... + 1191218.

It is an arithmetic number, because the mean of its divisors is an integer number (19634106120).

Almost surely, 2212042020131 is an apocalyptic number.

212042020131 is a deficient number, since it is larger than the sum of its proper divisors (102103677789).

212042020131 is a wasteful number, since it uses less digits than its factorization.

212042020131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234303 (or 234297 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 212042020131 its reverse (131020240212), we get a palindrome (343062260343).

The spelling of 212042020131 in words is "two hundred twelve billion, forty-two million, twenty thousand, one hundred thirty-one".

Divisors: 1 3 9 27 40531 121593 193763 364779 581289 1094337 1743867 5231601 7853408153 23560224459 70680673377 212042020131