Base | Representation |
---|---|
bin | 1011110001000000000… |
… | …1111101001001111010 |
3 | 201022201221210101110200 |
4 | 2330100001331021322 |
5 | 11302431344123002 |
6 | 232505223023030 |
7 | 20414013100464 |
oct | 2742001751172 |
9 | 638657711420 |
10 | 202132411002 |
11 | 787a6527145 |
12 | 3321189aa76 |
13 | 160a4047532 |
14 | 9ad73a7134 |
15 | 53d078eb1c |
hex | 2f1007d27a |
202132411002 has 96 divisors (see below), whose sum is σ = 463427012880. Its totient is φ = 63578511360.
The previous prime is 202132410979. The next prime is 202132411009. The reversal of 202132411002 is 200114231202.
It is a happy number.
202132411002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 8 ways, for example, as 7272848961 + 194859562041 = 85281^2 + 441429^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (202132411009) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4978978 + ... + 5019410.
Almost surely, 2202132411002 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 202132411002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231713506440).
202132411002 is an abundant number, since it is smaller than the sum of its proper divisors (261294601878).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
202132411002 is a wasteful number, since it uses less digits than its factorization.
202132411002 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 40688 (or 40685 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
Adding to 202132411002 its reverse (200114231202), we get a palindrome (402246642204).
The spelling of 202132411002 in words is "two hundred two billion, one hundred thirty-two million, four hundred eleven thousand, two".
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