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12023101013130 = 232523113359143177
BaseRepresentation
bin1010111011110101100010…
…1010100011110010001010
31120120101201120201011100100
42232331120222203302022
53033441302324410010
641323200352550230
72350432436254014
oct256753052436212
946511646634310
1012023101013130
113915a72097999
1214221a8252376
13692a0968871c
142d7cc7a831b4
1515cb360352c0
hexaef58aa3c8a

12023101013130 has 192 divisors, whose sum is σ = 32999757073920. Its totient is φ = 3031134425088.

The previous prime is 12023101013117. The next prime is 12023101013141. The reversal of 12023101013130 is 3131010132021.

12023101013130 is a `hidden beast` number, since 1 + 20 + 231 + 0 + 101 + 313 + 0 = 666.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 83902102 + ... + 84045278.

It is an arithmetic number, because the mean of its divisors is an integer number (171873734760).

Almost surely, 212023101013130 is an apocalyptic number.

12023101013130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12023101013130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16499878536960).

12023101013130 is an abundant number, since it is smaller than the sum of its proper divisors (20976656060790).

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

12023101013130 is a wasteful number, since it uses less digits than its factorization.

12023101013130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143685 (or 143682 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12023101013130 its reverse (3131010132021), we get a palindrome (15154111145151).

The spelling of 12023101013130 in words is "twelve trillion, twenty-three billion, one hundred one million, thirteen thousand, one hundred thirty".