Search a number
-
+
31442130200 = 235213103137857
BaseRepresentation
bin11101010010000110…
…001101010100011000
310000011020220201002202
4131102012031110120
51003343141131300
622235545545332
72162110461035
oct352206152430
9100136821082
1031442130200
1112375298878
126115aa5248
132c710a4b90
141743ba638c
15c40541ad5
hex75218d518

31442130200 has 192 divisors, whose sum is σ = 80164244160. Its totient is φ = 11399454720.

The previous prime is 31442130163. The next prime is 31442130263. The reversal of 31442130200 is 203124413.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36688172 + ... + 36689028.

It is an arithmetic number, because the mean of its divisors is an integer number (417522105).

Almost surely, 231442130200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31442130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40082122080).

31442130200 is an abundant number, since it is smaller than the sum of its proper divisors (48722113960).

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

31442130200 is a wasteful number, since it uses less digits than its factorization.

31442130200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 31442130200 its reverse (203124413), we get a palindrome (31645254613).

The spelling of 31442130200 in words is "thirty-one billion, four hundred forty-two million, one hundred thirty thousand, two hundred".