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31130301100 = 22521973922171
BaseRepresentation
bin11100111111100000…
…101011001010101100
32222100112011010222211
4130333200223022230
51002223324113400
622145010220204
72151303123223
oct347740531254
988315133884
1031130301100
1112225274a78
126049584664
132c215c4b12
1417145d3cba
15c22e97dba
hex73f82b2ac

31130301100 has 72 divisors (see below), whose sum is σ = 71207595200. Its totient is φ = 11780251200.

The previous prime is 31130301089. The next prime is 31130301107. The reversal of 31130301100 is 110303113.

It is a happy number.

It is a super-2 number, since 2×311303011002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31130301107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1393015 + ... + 1415185.

Almost surely, 231130301100 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 31130301100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35603797600).

31130301100 is an abundant number, since it is smaller than the sum of its proper divisors (40077294100).

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

31130301100 is a wasteful number, since it uses less digits than its factorization.

31130301100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22943 (or 22936 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 31130301100 its reverse (110303113), we get a palindrome (31240604213).

The spelling of 31130301100 in words is "thirty-one billion, one hundred thirty million, three hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 739 950 1478 1900 2956 3695 7390 14041 14780 18475 22171 28082 36950 44342 56164 70205 73900 88684 110855 140410 221710 280820 351025 421249 443420 554275 702050 842498 1108550 1404100 1684996 2106245 2217100 4212490 8424980 10531225 16384369 21062450 32768738 42124900 65537476 81921845 163843690 311303011 327687380 409609225 622606022 819218450 1245212044 1556515055 1638436900 3113030110 6226060220 7782575275 15565150550 31130301100