| Base | Representation |
|---|---|
| bin | 1001010001110001101110… |
| … | …1001001110101101101000 |
| 3 | 1100010012121000010012120201 |
| 4 | 2110130123221032231220 |
| 5 | 2314113132321333000 |
| 6 | 33410140235001544 |
| 7 | 2101666364601040 |
| oct | 224343351165550 |
| 9 | 40105530105521 |
| 10 | 10201011121000 |
| 11 | 3283251924407 |
| 12 | 1189035b992b4 |
| 13 | 58cc49aa973b |
| 14 | 273a35614720 |
| 15 | 12a54204396a |
| hex | 9471ba4eb68 |
10201011121000 has 128 divisors (see below), whose sum is σ = 27283206412800. Its totient is φ = 3497132083200.
The previous prime is 10201011120997. The next prime is 10201011121003. The reversal of 10201011121000 is 12111010201.
10201011121000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (10201011120997) and next prime (10201011121003).
It is a Harshad number since it is a multiple of its sum of digits (10).
It is not an unprimeable number, because it can be changed into a prime (10201011121003) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73633797 + ... + 73772203.
It is an arithmetic number, because the mean of its divisors is an integer number (213150050100).
Almost surely, 210201011121000 is an apocalyptic number.
10201011121000 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 10201011121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13641603206400).
10201011121000 is an abundant number, since it is smaller than the sum of its proper divisors (17082195291800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10201011121000 is a wasteful number, since it uses less digits than its factorization.
10201011121000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 148964 (or 148950 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 10.
Adding to 10201011121000 its reverse (12111010201), we get a palindrome (10213122131201).
The spelling of 10201011121000 in words is "ten trillion, two hundred one billion, eleven million, one hundred twenty-one thousand".
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