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10023322201312 = 2574713759311719
BaseRepresentation
bin1001000111011011110010…
…0011110010110011100000
31022111012221120001211112011
42101312330203302303200
52303210230440420222
633152352312442304
72053106160651310
oct221667443626340
938435846054464
1010023322201312
11321495a091062
12115a7063a9394
1357926cbb9844
142691ba72d440
15125ae2699c77
hex91dbc8f2ce0

10023322201312 has 192 divisors, whose sum is σ = 23241540833280. Its totient is φ = 4166229344256.

The previous prime is 10023322201271. The next prime is 10023322201331. The reversal of 10023322201312 is 21310222332001.

10023322201312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 855299389 + ... + 855311107.

It is an arithmetic number, because the mean of its divisors is an integer number (121049691840).

Almost surely, 210023322201312 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 10023322201312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11620770416640).

10023322201312 is an abundant number, since it is smaller than the sum of its proper divisors (13218218631968).

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

10023322201312 is a wasteful number, since it uses less digits than its factorization.

10023322201312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12513 (or 12505 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 10023322201312 its reverse (21310222332001), we get a palindrome (31333544533313).

The spelling of 10023322201312 in words is "ten trillion, twenty-three billion, three hundred twenty-two million, two hundred one thousand, three hundred twelve".