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20123031023200 = 25527173197105437
BaseRepresentation
bin1001001001101010000100…
…00111011010111001100000
32122020202001122001001022201
410210311002013122321200
510114143431420220300
6110444220503542544
74144561316326420
oct444650207327140
978222048031281
1020123031023200
116459147451806
12230bb8a45aa54
13b2c794425251
144d7d61d64480
1524d6a5eac66a
hex124d421dae60

20123031023200 has 288 divisors, whose sum is σ = 56754960825024. Its totient is φ = 6824560189440.

The previous prime is 20123031023189. The next prime is 20123031023209. The reversal of 20123031023200 is 232013032102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20123031023209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190800882 + ... + 190906318.

It is an arithmetic number, because the mean of its divisors is an integer number (197065836198).

Almost surely, 220123031023200 is an apocalyptic number.

20123031023200 is a gapful number since it is divisible by the number (20) 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 20123031023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28377480412512).

20123031023200 is an abundant number, since it is smaller than the sum of its proper divisors (36631929801824).

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

20123031023200 is a wasteful number, since it uses less digits than its factorization.

20123031023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105834 (or 105821 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 20123031023200 its reverse (232013032102), we get a palindrome (20355044055302).

The spelling of 20123031023200 in words is "twenty trillion, one hundred twenty-three billion, thirty-one million, twenty-three thousand, two hundred".