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13003120012 = 2223374318863
BaseRepresentation
bin11000001110000101…
…11101110110001100
31020120012122221022111
430013002331312030
5203112244320022
65550141553404
7640141460611
oct140702756614
936505587274
1013003120012
115572a16583
12262a875864
1312c2c24b6c
148b4d3c508
1551186b477
hex3070bdd8c

13003120012 has 48 divisors (see below), whose sum is σ = 24445919232. Its totient is φ = 6036085440.

The previous prime is 13003120001. The next prime is 13003120027. The reversal of 13003120012 is 21002130031.

13003120012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×130031200122 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13003119974 and 13003120001.

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 15 ways as a sum of consecutive naturals, for example, 1462693 + ... + 1471555.

It is an arithmetic number, because the mean of its divisors is an integer number (509289984).

Almost surely, 213003120012 is an apocalyptic number.

It is an amenable number.

13003120012 is a deficient number, since it is larger than the sum of its proper divisors (11442799220).

13003120012 is a wasteful number, since it uses less digits than its factorization.

13003120012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9358 (or 9356 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 13003120012 its reverse (21002130031), we get a palindrome (34005250043).

The spelling of 13003120012 in words is "thirteen billion, three million, one hundred twenty thousand, twelve".

Divisors: 1 2 4 23 37 46 74 92 148 431 851 862 1702 1724 3404 8863 9913 15947 17726 19826 31894 35452 39652 63788 203849 327931 366781 407698 655862 733562 815396 1311724 1467124 3819953 7542413 7639906 15084826 15279812 30169652 87858919 141338261 175717838 282676522 351435676 565353044 3250780003 6501560006 13003120012