Search a number
-
+
31020211200 = 2103521173503
BaseRepresentation
bin11100111000111100…
…101101110000000000
32222001212000000001010
4130320330231300000
51002012133224300
622130034440520
72145465305346
oct347074556000
988055000033
1031020211200
1112179111890
126018733140
132c0485a874
141703b37996
15c1849da50
hex738f2dc00

31020211200 has 528 divisors, whose sum is σ = 113601229056. Its totient is φ = 7402291200.

The previous prime is 31020211181. The next prime is 31020211207. The reversal of 31020211200 is 211202013.

It is a tau number, because it is divible by the number of its divisors (528).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31020211207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61670149 + ... + 61670651.

Almost surely, 231020211200 is an apocalyptic number.

31020211200 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 31020211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56800614528).

31020211200 is an abundant number, since it is smaller than the sum of its proper divisors (82581017856).

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

31020211200 is a wasteful number, since it uses less digits than its factorization.

31020211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 31020211200 its reverse (211202013), we get a palindrome (31231413213).

The spelling of 31020211200 in words is "thirty-one billion, twenty million, two hundred eleven thousand, two hundred".