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101230143168 = 263711172192943
BaseRepresentation
bin101111001000111001…
…0010110011011000000
3100200021220101002102210
41132101302112123000
53124304404040133
6114300545142120
710212402006510
oct1362162263300
9320256332383
10101230143168
1139a2785a950
121775192a940
1397136290cb
144c84599840
15297722b763
hex1791c966c0

101230143168 has 1344 divisors, whose sum is σ = 395254886400. Its totient is φ = 22109552640.

The previous prime is 101230143163. The next prime is 101230143181. The reversal of 101230143168 is 861341032101.

It is a tau number, because it is divible by the number of its divisors (1344).

It is not an unprimeable number, because it can be changed into a prime (101230143163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2354189355 + ... + 2354189397.

Almost surely, 2101230143168 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 101230143168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197627443200).

101230143168 is an abundant number, since it is smaller than the sum of its proper divisors (294024743232).

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

101230143168 is a wasteful number, since it uses less digits than its factorization.

101230143168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

Adding to 101230143168 its reverse (861341032101), we get a palindrome (962571175269).

The spelling of 101230143168 in words is "one hundred one billion, two hundred thirty million, one hundred forty-three thousand, one hundred sixty-eight".