Base | Representation |
---|---|
bin | 11110100101110000001… |
… | …111110110011110100000 |
3 | 21102221221111210200201210 |
4 | 132211300033312132200 |
5 | 233420121241224412 |
6 | 4245411314230120 |
7 | 304605355656231 |
oct | 36456017663640 |
9 | 7387844720653 |
10 | 2102122211232 |
11 | 74056120566a |
12 | 29b4a4585340 |
13 | 1232c993a6b4 |
14 | 73a596dd088 |
15 | 39a336ba83c |
hex | 1e9703f67a0 |
2102122211232 has 96 divisors (see below), whose sum is σ = 5595040059840. Its totient is φ = 690975774720.
The previous prime is 2102122211209. The next prime is 2102122211269. The reversal of 2102122211232 is 2321122212012.
It is a tau number, because it is divible by the number of its divisors (96).
It is a junction number, because it is equal to n+sod(n) for n = 2102122211199 and 2102122211208.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2857107 + ... + 3516717.
It is an arithmetic number, because the mean of its divisors is an integer number (58281667290).
Almost surely, 22102122211232 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 2102122211232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2797520029920).
2102122211232 is an abundant number, since it is smaller than the sum of its proper divisors (3492917848608).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2102122211232 is a wasteful number, since it uses less digits than its factorization.
2102122211232 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 660086 (or 660078 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 21.
Adding to 2102122211232 its reverse (2321122212012), we get a palindrome (4423244423244).
The spelling of 2102122211232 in words is "two trillion, one hundred two billion, one hundred twenty-two million, two hundred eleven thousand, two hundred thirty-two".
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