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3130300512 = 25338343651
BaseRepresentation
bin1011101010010100…
…1001100001100000
322002011012202001000
42322211021201200
522402324104022
61234341112000
7140400054363
oct27245114140
98064182030
103130300512
111366a78119
127343b8600
133ab6a6a31
14219a440da
15134c316ac
hexba949860

3130300512 has 96 divisors (see below), whose sum is σ = 9240255360. Its totient is φ = 1030838400.

The previous prime is 3130300507. The next prime is 3130300543. The reversal of 3130300512 is 2150030313.

3130300512 is a `hidden beast` number, since 313 + 0 + 300 + 51 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 49887 + ... + 93537.

It is an arithmetic number, because the mean of its divisors is an integer number (96252660).

Almost surely, 23130300512 is an apocalyptic number.

3130300512 is a gapful number since it is divisible by the number (32) 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 3130300512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4620127680).

3130300512 is an abundant number, since it is smaller than the sum of its proper divisors (6109954848).

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

3130300512 is a wasteful number, since it uses less digits than its factorization.

3130300512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43753 (or 43739 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 3130300512 is about 55949.0885716649. The cubic root of 3130300512 is about 1462.8350043879.

Adding to 3130300512 its reverse (2150030313), we get a palindrome (5280330825).

The spelling of 3130300512 in words is "three billion, one hundred thirty million, three hundred thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 83 96 108 144 166 216 249 288 332 432 498 664 747 864 996 1328 1494 1992 2241 2656 2988 3984 4482 5976 7968 8964 11952 17928 23904 35856 43651 71712 87302 130953 174604 261906 349208 392859 523812 698416 785718 1047624 1178577 1396832 1571436 2095248 2357154 3142872 3623033 4190496 4714308 6285744 7246066 9428616 10869099 12571488 14492132 18857232 21738198 28984264 32607297 37714464 43476396 57968528 65214594 86952792 97821891 115937056 130429188 173905584 195643782 260858376 347811168 391287564 521716752 782575128 1043433504 1565150256 3130300512