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101244143000000 = 265672111314449
BaseRepresentation
bin10111000001010010111101…
…001011011101100111000000
3111021110211211101212101100002
4113001102331023131213000
5101232241001102000000
6555154530041015132
730216435150146300
oct2701227513354700
9437424741771302
10101244143000000
112a294444326550
12b4319627844a8
134465387c225a0
141b00357c43600
15ba88d4a628d5
hex5c14bd2dd9c0

101244143000000 has 1176 divisors, whose sum is σ = 343226005088400. Its totient is φ = 29127168000000.

The previous prime is 101244142999999. The next prime is 101244143000017. The reversal of 101244143000000 is 341442101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 167 ways as a sum of consecutive naturals, for example, 7006992776 + ... + 7007007224.

Almost surely, 2101244143000000 is an apocalyptic number.

101244143000000 is a gapful number since it is divisible by the number (10) 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 101244143000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171613002544200).

101244143000000 is an abundant number, since it is smaller than the sum of its proper divisors (241981862088400).

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

101244143000000 is an equidigital number, since it uses as much as digits as its factorization.

101244143000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14529 (or 14487 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 101244143000000 its reverse (341442101), we get a palindrome (101244484442101).

The spelling of 101244143000000 in words is "one hundred one trillion, two hundred forty-four billion, one hundred forty-three million", and thus it is an aban number.