Base | Representation |
---|---|
bin | 1001000111011010101010… |
… | …0111010011010100011000 |
3 | 1022111012011120112212202001 |
4 | 2101312222213103110120 |
5 | 2303204121402143112 |
6 | 33152302355450344 |
7 | 2053065543623350 |
oct | 221665247232430 |
9 | 38435146485661 |
10 | 10023021131032 |
11 | 3214815146548 |
12 | 115a6415b69b4 |
13 | 579222705850 |
14 | 26918c75bb60 |
15 | 125ac6028c57 |
hex | 91daa9d3518 |
10023021131032 has 128 divisors (see below), whose sum is σ = 24493556304000. Its totient is φ = 3731462627328.
The previous prime is 10023021131029. The next prime is 10023021131033. The reversal of 10023021131032 is 23013112032001.
It is a super-2 number, since 2×100230211310322 (a number of 27 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10023021131033) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114966594 + ... + 115053742.
It is an arithmetic number, because the mean of its divisors is an integer number (191355908625).
Almost surely, 210023021131032 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 10023021131032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12246778152000).
10023021131032 is an abundant number, since it is smaller than the sum of its proper divisors (14470535172968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10023021131032 is a wasteful number, since it uses less digits than its factorization.
10023021131032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 96485 (or 96481 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 19.
Adding to 10023021131032 its reverse (23013112032001), we get a palindrome (33036133163033).
The spelling of 10023021131032 in words is "ten trillion, twenty-three billion, twenty-one million, one hundred thirty-one thousand, thirty-two".
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