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31100033300 = 2252797458027
BaseRepresentation
bin11100111101101101…
…001101100100010100
32222021102012101101012
4130331231031210110
51002143102031200
622142005351352
72150454631010
oct347555154424
988242171335
1031100033300
111220a181366
12603b408558
132c18257c8b
141710595540
15c204b9a35
hex73db4d914

31100033300 has 72 divisors (see below), whose sum is σ = 77923387584. Its totient is φ = 10552919040.

The previous prime is 31100033299. The next prime is 31100033309. The reversal of 31100033300 is 333000113.

It is a super-2 number, since 2×311000333002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

31100033300 is a modest number, since divided by 33300 gives 31100 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31100033309) 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, 161114 + ... + 296913.

It is an arithmetic number, because the mean of its divisors is an integer number (1082269272).

Almost surely, 231100033300 is an apocalyptic number.

It is an amenable number.

31100033300 is an abundant number, since it is smaller than the sum of its proper divisors (46823354284).

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

31100033300 is a wasteful number, since it uses less digits than its factorization.

31100033300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458145 (or 458138 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 14.

Adding to 31100033300 its reverse (333000113), we get a palindrome (31433033413).

The spelling of 31100033300 in words is "thirty-one billion, one hundred million, thirty-three thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 97 100 140 175 194 350 388 485 679 700 970 1358 1940 2425 2716 3395 4850 6790 9700 13580 16975 33950 67900 458027 916054 1832108 2290135 3206189 4580270 6412378 9160540 11450675 12824756 16030945 22901350 32061890 44428619 45802700 64123780 80154725 88857238 160309450 177714476 222143095 311000333 320618900 444286190 622000666 888572380 1110715475 1244001332 1555001665 2221430950 3110003330 4442861900 6220006660 7775008325 15550016650 31100033300