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31323130000 = 245410131013
BaseRepresentation
bin11101001011000000…
…010000100010010000
32222211221222212111221
4131023000100202100
51003122210130000
622220055214424
72156134132501
oct351300204220
988757885457
1031323130000
11123140aa1a8
1260a2077414
132c5253b066
14173206aba8
15c34d8761a
hex74b010890

31323130000 has 100 divisors (see below), whose sum is σ = 76589755308. Its totient is φ = 12404800000.

The previous prime is 31323129979. The next prime is 31323130073. The reversal of 31323130000 is 3132313.

It can be written as a sum of positive squares in 10 ways, for example, as 26068039936 + 5255090064 = 161456^2 + 72492^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×313231300002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 994494 + ... + 1025506.

Almost surely, 231323130000 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 31323130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38294877654).

31323130000 is an abundant number, since it is smaller than the sum of its proper divisors (45266625308).

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

31323130000 is a wasteful number, since it uses less digits than its factorization.

31323130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31142 (or 31121 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 31323130000 its reverse (3132313), we get a palindrome (31326262313).

31323130000 divided by its reverse (3132313) gives a 4-th power (10000 = 104).

The spelling of 31323130000 in words is "thirty-one billion, three hundred twenty-three million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 125 200 202 250 400 404 500 505 625 808 1000 1010 1250 1616 2000 2020 2500 2525 4040 5000 5050 8080 10000 10100 12625 20200 25250 31013 40400 50500 62026 63125 101000 124052 126250 155065 202000 248104 252500 310130 496208 505000 620260 775325 1010000 1240520 1550650 2481040 3101300 3132313 3876625 6202600 6264626 7753250 12405200 12529252 15506500 15661565 19383125 25058504 31013000 31323130 38766250 50117008 62026000 62646260 77532500 78307825 125292520 155065000 156615650 250585040 310130000 313231300 391539125 626462600 783078250 1252925200 1566156500 1957695625 3132313000 3915391250 6264626000 7830782500 15661565000 31323130000