Base | Representation |
---|---|
bin | 11101110001101110101… |
… | …11110111100011110010 |
3 | 10121210212202220011100200 |
4 | 32320313113313203302 |
5 | 113230333043021320 |
6 | 2102004152500030 |
7 | 133630100610561 |
oct | 16706727674362 |
9 | 3553782804320 |
10 | 1023131220210 |
11 | 3649a89a0010 |
12 | 1463586aa616 |
13 | 756335ac9a8 |
14 | 3773c531bd8 |
15 | 1b932346290 |
hex | ee375f78f2 |
1023131220210 has 384 divisors, whose sum is σ = 3159250698240. Its totient is φ = 226964851200.
The previous prime is 1023131220127. The next prime is 1023131220211. The reversal of 1023131220210 is 120221313201.
1023131220210 is a `hidden beast` number, since 1 + 0 + 231 + 3 + 1 + 220 + 210 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a Curzon number.
It is not an unprimeable number, because it can be changed into a prime (1023131220211) by changing a digit.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 380769487 + ... + 380772173.
It is an arithmetic number, because the mean of its divisors is an integer number (8227215360).
Almost surely, 21023131220210 is an apocalyptic number.
1023131220210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 1023131220210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579625349120).
1023131220210 is an abundant number, since it is smaller than the sum of its proper divisors (2136119478030).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1023131220210 is a wasteful number, since it uses less digits than its factorization.
1023131220210 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3414 (or 3411 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 1023131220210 its reverse (120221313201), we get a palindrome (1143352533411).
The spelling of 1023131220210 in words is "one trillion, twenty-three billion, one hundred thirty-one million, two hundred twenty thousand, two hundred ten".
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