Search a number
-
+
31320300 = 22352119491
BaseRepresentation
bin111011101111…
…0100011101100
32011221020101010
41313132203230
531004222200
63035145220
7530134554
oct167364354
964836333
1031320300
1116752450
12a5a5210
136647c2b
144234164
152b3a150
hex1dde8ec

31320300 has 72 divisors (see below), whose sum is σ = 98868672. Its totient is φ = 7592000.

The previous prime is 31320281. The next prime is 31320337. The reversal of 31320300 is 302313.

It is a happy number.

It is a super-2 number, since 2×313203002 = 1961922384180000, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 1446 + ... + 8045.

It is an arithmetic number, because the mean of its divisors is an integer number (1373176).

Almost surely, 231320300 is an apocalyptic number.

31320300 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 31320300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49434336).

31320300 is an abundant number, since it is smaller than the sum of its proper divisors (67548372).

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

31320300 is a wasteful number, since it uses less digits than its factorization.

31320300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9519 (or 9512 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 31320300 is about 5596.4542346025. The cubic root of 31320300 is about 315.2162787808.

Adding to 31320300 its reverse (302313), we get a palindrome (31622613).

The spelling of 31320300 in words is "thirty-one million, three hundred twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 9491 18982 28473 37964 47455 56946 94910 104401 113892 142365 189820 208802 237275 284730 313203 417604 474550 522005 569460 626406 711825 949100 1044010 1252812 1423650 1566015 2088020 2610025 2847300 3132030 5220050 6264060 7830075 10440100 15660150 31320300