Base | Representation |
---|---|
bin | 101110100100010001… |
… | …1000100100011001000 |
3 | 100120010021021112002210 |
4 | 1131020203010203020 |
5 | 3114300324313112 |
6 | 113535013025120 |
7 | 10140061612101 |
oct | 1351043044310 |
9 | 316107245083 |
10 | 100001401032 |
11 | 39457202785 |
12 | 1746a3251a0 |
13 | 9578bb0360 |
14 | 4ba93073a8 |
15 | 2904414b3c |
hex | 17488c48c8 |
100001401032 has 128 divisors (see below), whose sum is σ = 271282556160. Its totient is φ = 30536540160.
The previous prime is 100001401021. The next prime is 100001401039. The reversal of 100001401032 is 230104100001.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a junction number, because it is equal to n+sod(n) for n = 100001400999 and 100001401017.
It is not an unprimeable number, because it can be changed into a prime (100001401039) 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, 23055568 + ... + 23059904.
It is an arithmetic number, because the mean of its divisors is an integer number (2119394970).
Almost surely, 2100001401032 is an apocalyptic number.
100001401032 is a gapful number since it is divisible by the number (12) 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 100001401032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135641278080).
100001401032 is an abundant number, since it is smaller than the sum of its proper divisors (171281155128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100001401032 is a wasteful number, since it uses less digits than its factorization.
100001401032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4903 (or 4899 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 12.
Adding to 100001401032 its reverse (230104100001), we get a palindrome (330105501033).
The spelling of 100001401032 in words is "one hundred billion, one million, four hundred one thousand, thirty-two".
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