Base | Representation |
---|---|
bin | 10011010010011111… |
… | …00110010011101001 |
3 | 222201200221120121101 |
4 | 21221033212103221 |
5 | 132202020200322 |
6 | 4431325041401 |
7 | 514423262002 |
oct | 115117462351 |
9 | 28650846541 |
10 | 10355631337 |
11 | 4434536107 |
12 | 20100b6261 |
13 | c9059590c |
14 | 7034981a9 |
15 | 40920a327 |
hex | 2693e64e9 |
10355631337 has 4 divisors (see below), whose sum is σ = 10355839060. Its totient is φ = 10355423616.
The previous prime is 10355631323. The next prime is 10355631359. The reversal of 10355631337 is 73313655301.
It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 73313655301 = 17099 ⋅4287599.
It can be written as a sum of positive squares in 2 ways, for example, as 4969686016 + 5385945321 = 70496^2 + 73389^2 .
It is a 3-Lehmer number, since φ(10355631337) divides (10355631337-1)3.
It is a cyclic number.
It is not a de Polignac number, because 10355631337 - 211 = 10355629289 is a prime.
It is a super-3 number, since 3×103556313373 (a number of 31 digits) contains 333 as substring.
It is a Duffinian number.
It is a junction number, because it is equal to n+sod(n) for n = 10355631296 and 10355631305.
It is not an unprimeable number, because it can be changed into a prime (10355631367) by changing a digit.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20773 + ... + 145405.
It is an arithmetic number, because the mean of its divisors is an integer number (2588959765).
It is a Poulet number, since it divides 210355631336-1.
Almost surely, 210355631337 is an apocalyptic number.
10355631337 is the 83089-th pentagonal number.
It is an amenable number.
10355631337 is a deficient number, since it is larger than the sum of its proper divisors (207723).
10355631337 is an equidigital number, since it uses as much as digits as its factorization.
10355631337 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 207722.
The product of its (nonzero) digits is 85050, while the sum is 37.
The spelling of 10355631337 in words is "ten billion, three hundred fifty-five million, six hundred thirty-one thousand, three hundred thirty-seven".
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