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12320102313232 = 247715212973721
BaseRepresentation
bin1011001101000111111101…
…0100100110110100010000
31121121210100010001110011021
42303101333110212310100
53103323032143010412
642111435445325224
72411045422540150
oct263217724466420
947553303043137
1012320102313232
113a1aa2063160a
12146b875406814
136b4a1c16979c
1430842083a760
1516571a30a607
hexb347f526d10

12320102313232 has 80 divisors (see below), whose sum is σ = 27717563176704. Its totient is φ = 5195683584000.

The previous prime is 12320102313227. The next prime is 12320102313251. The reversal of 12320102313232 is 23231320102321.

12320102313232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12320102313197 and 12320102313206.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2656132 + ... + 5629852.

Almost surely, 212320102313232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12320102313232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13858781588352).

12320102313232 is an abundant number, since it is smaller than the sum of its proper divisors (15397460863472).

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

12320102313232 is a wasteful number, since it uses less digits than its factorization.

12320102313232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2974328 (or 2974322 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 12320102313232 its reverse (23231320102321), we get a palindrome (35551422415553).

The spelling of 12320102313232 in words is "twelve trillion, three hundred twenty billion, one hundred two million, three hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 71 112 142 284 497 521 568 994 1042 1136 1988 2084 3647 3976 4168 7294 7952 8336 14588 29176 36991 58352 73982 147964 258937 295928 517874 591856 1035748 2071496 2973721 4142992 5947442 11894884 20816047 23789768 41632094 47579536 83264188 166528376 211134191 333056752 422268382 844536764 1477939337 1549308641 1689073528 2955878674 3098617282 3378147056 5911757348 6197234564 10845160487 11823514696 12394469128 21690320974 23647029392 24788938256 43380641948 86761283896 110000913511 173522567792 220001827022 440003654044 770006394577 880007308088 1540012789154 1760014616176 3080025578308 6160051156616 12320102313232