Search a number
-
+
202131020142 = 232174717893593
BaseRepresentation
bin1011110000111111110…
…0101001100101101110
3201022201212011201120100
42330033330221211232
511302431020121032
6232505133131530
720413665215502
oct2741774514556
9638655151510
10202131020142
11787a5767177
1233211329ba6
13160a397b43c
149ad7124302
1553d05b797c
hex2f0ff2996e

202131020142 has 48 divisors (see below), whose sum is σ = 438568200720. Its totient is φ = 67282068096.

The previous prime is 202131020123. The next prime is 202131020171. The reversal of 202131020142 is 241020131202.

It is a happy number.

202131020142 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56255098 + ... + 56258690.

It is an arithmetic number, because the mean of its divisors is an integer number (9136837515).

Almost surely, 2202131020142 is an apocalyptic number.

202131020142 is an abundant number, since it is smaller than the sum of its proper divisors (236437180578).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

202131020142 is a wasteful number, since it uses less digits than its factorization.

202131020142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7137 (or 7134 counting only the distinct ones).

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

Adding to 202131020142 its reverse (241020131202), we get a palindrome (443151151344).

The spelling of 202131020142 in words is "two hundred two billion, one hundred thirty-one million, twenty thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 1747 1789 3494 3578 3593 5241 5367 7186 10482 10734 10779 15723 16101 21558 31446 32202 32337 64674 3125383 6250766 6276971 6427877 9376149 12553942 12855754 18752298 18830913 19283631 28128447 37661826 38567262 56256894 56492739 57850893 112985478 115701786 11229501119 22459002238 33688503357 67377006714 101065510071 202131020142