Search a number
-
+
31021032000 = 263537184649
BaseRepresentation
bin11100111000111111…
…110110001001000000
32222001220112200222010
4130320333312021000
51002012341011000
622130104212520
72145505264350
oct347077661100
988056480863
1031021032000
1112179622532
126018a6a140
132c04a8734a
141703cacb60
15c185b1d50
hex738ff6240

31021032000 has 224 divisors, whose sum is σ = 117065145600. Its totient is φ = 7090483200.

The previous prime is 31021031971. The next prime is 31021032059. The reversal of 31021032000 is 23012013.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75676 + ... + 260324.

Almost surely, 231021032000 is an apocalyptic number.

31021032000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31021032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58532572800).

31021032000 is an abundant number, since it is smaller than the sum of its proper divisors (86044113600).

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

31021032000 is a wasteful number, since it uses less digits than its factorization.

31021032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184686 (or 184666 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 31021032000 its reverse (23012013), we get a palindrome (31044044013).

The spelling of 31021032000 in words is "thirty-one billion, twenty-one million, thirty-two thousand".