| Base | Representation |
|---|---|
| bin | 101111000110001111… |
| … | …1001101101001010000 |
| 3 | 100200001201002100202200 |
| 4 | 1132030133031221100 |
| 5 | 3124114124143100 |
| 6 | 114244051443200 |
| 7 | 10210242233664 |
| oct | 1361437155120 |
| 9 | 320051070680 |
| 10 | 101141240400 |
| 11 | 39991658992 |
| 12 | 17727bb6500 |
| 13 | 96cb09c715 |
| 14 | 4c768568a4 |
| 15 | 296e519e00 |
| hex | 178c7cda50 |
101141240400 has 180 divisors, whose sum is σ = 354607858332. Its totient is φ = 26692853760.
The previous prime is 101141240383. The next prime is 101141240407. The reversal of 101141240400 is 4042141101.
101141240400 is a `hidden beast` number, since 10 + 1 + 14 + 1 + 240 + 400 = 666.
It can be written as a sum of positive squares in 6 ways, for example, as 11349919296 + 89791321104 = 106536^2 + 299652^2 .
It is a tau number, because it is divible by the number of its divisors (180).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (101141240407) 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 35 ways as a sum of consecutive naturals, for example, 204382 + ... + 494018.
Almost surely, 2101141240400 is an apocalyptic number.
101141240400 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 101141240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177303929166).
101141240400 is an abundant number, since it is smaller than the sum of its proper divisors (253466617932).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101141240400 is a wasteful number, since it uses less digits than its factorization.
101141240400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 289758 (or 289744 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 101141240400 its reverse (4042141101), we get a palindrome (105183381501).
The spelling of 101141240400 in words is "one hundred one billion, one hundred forty-one million, two hundred forty thousand, four hundred".
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