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313303030002 = 23419244741597
BaseRepresentation
bin1001000111100100101…
…00001101100011110010
31002221200121220222020000
410203302110031203302
520113121033430002
6355532431130430
731430640546354
oct4436224154362
91087617828200
10313303030002
11110964435676
1250878673a16
132370cc1c5b1
1411241c2d0d4
15823a51c61c
hex48f250d8f2

313303030002 has 80 divisors (see below), whose sum is σ = 739299623040. Its totient is φ = 98894989152.

The previous prime is 313303029989. The next prime is 313303030013. The reversal of 313303030002 is 200030303313.

313303030002 is a `hidden beast` number, since 3 + 1 + 330 + 30 + 300 + 0 + 2 = 666.

It is a super-2 number, since 2×3133030300022 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7511068 + ... + 7552664.

It is an arithmetic number, because the mean of its divisors is an integer number (9241245288).

Almost surely, 2313303030002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313303030002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369649811520).

313303030002 is an abundant number, since it is smaller than the sum of its proper divisors (425996593038).

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

313303030002 is a wasteful number, since it uses less digits than its factorization.

313303030002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44077 (or 44068 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 313303030002 its reverse (200030303313), we get a palindrome (513333333315).

The spelling of 313303030002 in words is "three hundred thirteen billion, three hundred three million, thirty thousand, two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 342 513 1026 1539 2447 3078 4894 7341 14682 22023 41597 44046 46493 66069 83194 92986 124791 132138 139479 198207 249582 278958 374373 396414 418437 748746 790343 836874 1123119 1255311 1580686 2246238 2371029 2510622 3369357 3765933 4742058 6738714 7113087 7531866 14226174 21339261 42678522 64017783 101787859 128035566 203575718 305363577 610727154 916090731 1832181462 1933969321 2748272193 3867938642 5496544386 5801907963 8244816579 11603815926 16489633158 17405723889 34811447778 52217171667 104434343334 156651515001 313303030002