Base | Representation |
---|---|
bin | 100000001101001000010… |
… | …010101000011001001000 |
3 | 21211120110012121110010200 |
4 | 200031020102220121020 |
5 | 242224432434013112 |
6 | 4412405503412200 |
7 | 315615126060264 |
oct | 40151022503110 |
9 | 7746405543120 |
10 | 2213121001032 |
11 | 783641122297 |
12 | 2b8b018b4060 |
13 | 13090903c986 |
14 | 791893d70a4 |
15 | 3c87d305cdc |
hex | 203484a8648 |
2213121001032 has 96 divisors (see below), whose sum is σ = 6347807439480. Its totient is φ = 694163957760.
The previous prime is 2213121001001. The next prime is 2213121001057. The reversal of 2213121001032 is 2301001213122.
2213121001032 is a `hidden beast` number, since 221 + 312 + 100 + 1 + 0 + 32 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 1837776077316 + 375344923716 = 1355646^2 + 612654^2 .
It is a super-3 number, since 3×22131210010323 (a number of 38 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 2213121000996 and 2213121001014.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5602182 + ... + 5984202.
Almost surely, 22213121001032 is an apocalyptic number.
It is an amenable number.
2213121001032 is an abundant number, since it is smaller than the sum of its proper divisors (4134686438448).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2213121001032 is a wasteful number, since it uses less digits than its factorization.
2213121001032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 386783 (or 386776 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 2213121001032 its reverse (2301001213122), we get a palindrome (4514122214154).
The spelling of 2213121001032 in words is "two trillion, two hundred thirteen billion, one hundred twenty-one million, one thousand, thirty-two".
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