Base | Representation |
---|---|
bin | 101110100100110110… |
… | …1111101000001011000 |
3 | 100120011122012211100122 |
4 | 1131021231331001120 |
5 | 3114320340443000 |
6 | 113540553452412 |
7 | 10140420510242 |
oct | 1351155750130 |
9 | 316148184318 |
10 | 100021031000 |
11 | 3946729aaa0 |
12 | 17474a11108 |
13 | 957cc94217 |
14 | 4babb77092 |
15 | 2905ee1085 |
hex | 1749b7d058 |
100021031000 has 128 divisors (see below), whose sum is σ = 258560640000. Its totient is φ = 35910576000.
The previous prime is 100021030973. The next prime is 100021031039. The reversal of 100021031000 is 130120001.
It is a super-2 number, since 2×1000210310002 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (8).
It is a congruent number.
It is an unprimeable number.
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 31 ways as a sum of consecutive naturals, for example, 811451 + ... + 926549.
It is an arithmetic number, because the mean of its divisors is an integer number (2020005000).
Almost surely, 2100021031000 is an apocalyptic number.
100021031000 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 100021031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129280320000).
100021031000 is an abundant number, since it is smaller than the sum of its proper divisors (158539609000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100021031000 is a wasteful number, since it uses less digits than its factorization.
100021031000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 115210 (or 115196 counting only the distinct ones).
The product of its (nonzero) digits is 6, while the sum is 8.
Adding to 100021031000 its reverse (130120001), we get a palindrome (100151151001).
The spelling of 100021031000 in words is "one hundred billion, twenty-one million, thirty-one thousand".
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