Search a number
-
+
142122511032 = 23310954328177
BaseRepresentation
bin1000010001011100101…
…0010110101010111000
3111120211202120121111220
42010113022112222320
54312031330323112
6145142402352040
713160633261055
oct2042712265270
9446752517456
10142122511032
11553014a8097
122366465b620
131052c532198
146c4349802c
153a6c23398c
hex2117296ab8

142122511032 has 32 divisors (see below), whose sum is σ = 358565974800. Its totient is φ = 46939544064.

The previous prime is 142122511001. The next prime is 142122511043. The reversal of 142122511032 is 230115221241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 142122510993 and 142122511011.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 27161473 + ... + 27166704.

Almost surely, 2142122511032 is an apocalyptic number.

142122511032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

142122511032 is an abundant number, since it is smaller than the sum of its proper divisors (216443463768).

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

142122511032 is a wasteful number, since it uses less digits than its factorization.

142122511032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54328295 (or 54328291 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 142122511032 its reverse (230115221241), we get a palindrome (372237732273).

The spelling of 142122511032 in words is "one hundred forty-two billion, one hundred twenty-two million, five hundred eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 109 218 327 436 654 872 1308 2616 54328177 108656354 162984531 217312708 325969062 434625416 651938124 1303876248 5921771293 11843542586 17765313879 23687085172 35530627758 47374170344 71061255516 142122511032