| Base | Representation |
|---|---|
| bin | 1100000011100… |
| … | …11111010001010 |
| 3 | 21001022100100000 |
| 4 | 12001303322022 |
| 5 | 201342404213 |
| 6 | 14011423430 |
| 7 | 2335442100 |
| oct | 601637212 |
| 9 | 231270300 |
| 10 | 101138058 |
| 11 | 520a957a |
| 12 | 29a54b76 |
| 13 | 17c51808 |
| 14 | d609c70 |
| 15 | 8d2bc73 |
| hex | 6073e8a |
101138058 has 144 divisors (see below), whose sum is σ = 274869504. Its totient is φ = 27760320.
The previous prime is 101138047. The next prime is 101138119. The reversal of 101138058 is 850831101.
It is a super-3 number, since 3×1011380583 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 738166 + ... + 738302.
It is an arithmetic number, because the mean of its divisors is an integer number (1908816).
Almost surely, 2101138058 is an apocalyptic number.
101138058 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 101138058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137434752).
101138058 is an abundant number, since it is smaller than the sum of its proper divisors (173731446).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101138058 is a wasteful number, since it uses less digits than its factorization.
101138058 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 199 (or 180 counting only the distinct ones).
The product of its (nonzero) digits is 960, while the sum is 27.
The square root of 101138058 is about 10056.7419177386. The cubic root of 101138058 is about 465.9130447391.
Adding to 101138058 its reverse (850831101), we get a palindrome (951969159).
The spelling of 101138058 in words is "one hundred one million, one hundred thirty-eight thousand, fifty-eight".
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