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130303032312 = 23337919159671
BaseRepresentation
bin111100101011010101…
…0100111101111111000
3110110100001010212210210
41321112222213233320
54113330034013222
6135505502111120
712262013333325
oct1712652475770
9413301125723
10130303032312
1150296734862
122130627b4a0
13c3978c48ab
14644182bb4c
1535c9770d0c
hex1e56aa7bf8

130303032312 has 64 divisors (see below), whose sum is σ = 334927987200. Its totient is φ = 42214193280.

The previous prime is 130303032239. The next prime is 130303032317. The reversal of 130303032312 is 213230303031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130303032317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 736237 + ... + 895907.

It is an arithmetic number, because the mean of its divisors is an integer number (5233249800).

Almost surely, 2130303032312 is an apocalyptic number.

130303032312 is a gapful number since it is divisible by the number (12) 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 130303032312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167463993600).

130303032312 is an abundant number, since it is smaller than the sum of its proper divisors (204624954888).

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

130303032312 is a wasteful number, since it uses less digits than its factorization.

130303032312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160636 (or 160632 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 130303032312 its reverse (213230303031), we get a palindrome (343533335343).

The spelling of 130303032312 in words is "one hundred thirty billion, three hundred three million, thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 919 1838 2757 3676 5514 7352 11028 22056 34003 68006 102009 136012 159671 204018 272024 319342 408036 479013 638684 816072 958026 1277368 1916052 3832104 5907827 11815654 17723481 23631308 35446962 47262616 70893924 141787848 146737649 293475298 440212947 586950596 880425894 1173901192 1760851788 3521703576 5429293013 10858586026 16287879039 21717172052 32575758078 43434344104 65151516156 130303032312