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71313318300 = 22352733958723
BaseRepresentation
bin100001001101010011…
…0101110000110011100
320211001221120220220010
41002122212232012130
52132022202141200
652432203523220
75103132126660
oct1023246560634
9224057526803
1071313318300
11282755665a4
12119a2829510
136956566683
1436472028a0
151cc5a82150
hex109a9ae19c

71313318300 has 72 divisors (see below), whose sum is σ = 235809379456. Its totient is φ = 16300186560.

The previous prime is 71313318287. The next prime is 71313318319. The reversal of 71313318300 is 381331317.

It is a super-2 number, since 2×713133183002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16977262 + ... + 16981461.

Almost surely, 271313318300 is an apocalyptic number.

71313318300 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

71313318300 is an abundant number, since it is smaller than the sum of its proper divisors (164496061156).

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

71313318300 is a wasteful number, since it uses less digits than its factorization.

71313318300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33958747 (or 33958740 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

Adding to 71313318300 its reverse (381331317), we get a palindrome (71694649617).

The spelling of 71313318300 in words is "seventy-one billion, three hundred thirteen million, three hundred eighteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 33958723 67917446 101876169 135834892 169793615 203752338 237711061 339587230 407504676 475422122 509380845 679174460 713133183 848968075 950844244 1018761690 1188555305 1426266366 1697936150 2037523380 2377110610 2546904225 2852532732 3395872300 3565665915 4754221220 5093808450 5942776525 7131331830 10187616900 11885553050 14262663660 17828329575 23771106100 35656659150 71313318300