Base | Representation |
---|---|
bin | 11101110001101101100… |
… | …10000111000000011010 |
3 | 10121210212002021021120200 |
4 | 32320312302013000122 |
5 | 113230323024301020 |
6 | 2102003200403030 |
7 | 133626620514054 |
oct | 16706662070032 |
9 | 3553762237520 |
10 | 1023121322010 |
11 | 3649a334a387 |
12 | 146355316476 |
13 | 75631525578 |
14 | 3773b0b68d4 |
15 | 1b93153d590 |
hex | ee36c8701a |
1023121322010 has 48 divisors (see below), whose sum is σ = 2660310867240. Its totient is φ = 272812308480.
The previous prime is 1023121321967. The next prime is 1023121322087. The reversal of 1023121322010 is 102231213201.
1023121322010 is a `hidden beast` number, since 1 + 0 + 231 + 213 + 220 + 1 + 0 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 975395239641 + 47726082369 = 987621^2 + 218463^2 .
It is a super-2 number, since 2×10231213220102 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 835026 + ... + 1656354.
Almost surely, 21023121322010 is an apocalyptic number.
1023121322010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
1023121322010 is an abundant number, since it is smaller than the sum of its proper divisors (1637189545230).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1023121322010 is a wasteful number, since it uses less digits than its factorization.
1023121322010 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 835183 (or 835180 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 1023121322010 its reverse (102231213201), we get a palindrome (1125352535211).
The spelling of 1023121322010 in words is "one trillion, twenty-three billion, one hundred twenty-one million, three hundred twenty-two thousand, ten".
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