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31321313320 = 2351199771399
BaseRepresentation
bin11101001010111001…
…010101000000101000
32222211211120120111111
4131022321111000220
51003121224011240
622215552240104
72156112525163
oct351271250050
988754516444
1031321313320
1112313079310
1260a1540034
132c520531bb
141731b16ada
15c34b291ea
hex74ae55028

31321313320 has 64 divisors (see below), whose sum is σ = 76957776000. Its totient is φ = 11377985280.

The previous prime is 31321313279. The next prime is 31321313329. The reversal of 31321313320 is 2331312313.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 31321313291 and 31321313300.

It is not an unprimeable number, because it can be changed into a prime (31321313329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 402981 + ... + 474379.

It is an arithmetic number, because the mean of its divisors is an integer number (1202465250).

Almost surely, 231321313320 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 31321313320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38478888000).

31321313320 is an abundant number, since it is smaller than the sum of its proper divisors (45636462680).

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

31321313320 is a wasteful number, since it uses less digits than its factorization.

31321313320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72418 (or 72414 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 31321313320 its reverse (2331312313), we get a palindrome (33652625633).

The spelling of 31321313320 in words is "thirty-one billion, three hundred twenty-one million, three hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 997 1994 3988 4985 7976 9970 10967 19940 21934 39880 43868 54835 71399 87736 109670 142798 219340 285596 356995 438680 571192 713990 785389 1427980 1570778 2855960 3141556 3926945 6283112 7853890 15707780 31415560 71184803 142369606 284739212 355924015 569478424 711848030 783032833 1423696060 1566065666 2847392120 3132131332 3915164165 6264262664 7830328330 15660656660 31321313320