Base | Representation |
---|---|
bin | 101110110010111111… |
… | …1110111000010101100 |
3 | 100121101200222200211120 |
4 | 1131211333313002230 |
5 | 3121303321042043 |
6 | 114100023020540 |
7 | 10155241355310 |
oct | 1354577670254 |
9 | 317350880746 |
10 | 100495487148 |
11 | 3969009aa11 |
12 | 1758789a750 |
13 | 96273746c4 |
14 | 4c14b9db40 |
15 | 29329b0983 |
hex | 1765ff70ac |
100495487148 has 288 divisors, whose sum is σ = 297848904192. Its totient is φ = 25738352640.
The previous prime is 100495487107. The next prime is 100495487171. The reversal of 100495487148 is 841784594001.
100495487148 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×1004954871482 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (51).
It is a self number, because there is not a number n which added to its sum of digits gives 100495487148.
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 95 ways as a sum of consecutive naturals, for example, 91944090 + ... + 91945182.
It is an arithmetic number, because the mean of its divisors is an integer number (1034197584).
Almost surely, 2100495487148 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 100495487148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148924452096).
100495487148 is an abundant number, since it is smaller than the sum of its proper divisors (197353417044).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100495487148 is a wasteful number, since it uses less digits than its factorization.
100495487148 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1253 (or 1220 counting only the distinct ones).
The product of its (nonzero) digits is 1290240, while the sum is 51.
The spelling of 100495487148 in words is "one hundred billion, four hundred ninety-five million, four hundred eighty-seven thousand, one hundred forty-eight".
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