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31211031300 = 22352571182201
BaseRepresentation
bin11101000100010100…
…101000101100000100
32222120011001200000020
4131010110220230010
51002410011000200
622201012415140
72153303250231
oct350424505404
988504050006
1031211031300
11122668a4849
1260706174b0
132c3524c677
14172120a788
15c2a0e2ea0
hex744528b04

31211031300 has 72 divisors (see below), whose sum is σ = 90462564192. Its totient is φ = 8308320000.

The previous prime is 31211031281. The next prime is 31211031337. The reversal of 31211031300 is 313011213.

It is a super-3 number, since 3×312110313003 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 31211031300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80200 + ... + 262400.

Almost surely, 231211031300 is an apocalyptic number.

31211031300 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 31211031300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45231282096).

31211031300 is an abundant number, since it is smaller than the sum of its proper divisors (59251532892).

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

31211031300 is a wasteful number, since it uses less digits than its factorization.

31211031300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182789 (or 182782 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 31211031300 its reverse (313011213), we get a palindrome (31524042513).

The spelling of 31211031300 in words is "thirty-one billion, two hundred eleven million, thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 571 1142 1713 2284 2855 3426 5710 6852 8565 11420 14275 17130 28550 34260 42825 57100 85650 171300 182201 364402 546603 728804 911005 1093206 1822010 2186412 2733015 3644020 4555025 5466030 9110050 10932060 13665075 18220100 27330150 54660300 104036771 208073542 312110313 416147084 520183855 624220626 1040367710 1248441252 1560551565 2080735420 2600919275 3121103130 5201838550 6242206260 7802757825 10403677100 15605515650 31211031300