Base | Representation |
---|---|
bin | 10011000011100010… |
… | …01110110110000000 |
3 | 222101221222112212020 |
4 | 21201301032312000 |
5 | 131422414333100 |
6 | 4411045201440 |
7 | 511341344415 |
oct | 114161166600 |
9 | 28357875766 |
10 | 10230230400 |
11 | 437a775575 |
12 | 1b96100280 |
13 | c705ca590 |
14 | 6d097410c |
15 | 3ed1d95a0 |
hex | 261c4ed80 |
10230230400 has 192 divisors, whose sum is σ = 36288250320. Its totient is φ = 2518179840.
The previous prime is 10230230399. The next prime is 10230230411. The reversal of 10230230400 is 403203201.
It is a tau number, because it is divible by the number of its divisors (192).
It is a super-2 number, since 2×102302304002 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 10230230400.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83814 + ... + 165786.
Almost surely, 210230230400 is an apocalyptic number.
10230230400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10230230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144125160).
10230230400 is an abundant number, since it is smaller than the sum of its proper divisors (26058019920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10230230400 is a wasteful number, since it uses less digits than its factorization.
10230230400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 82013 (or 81996 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 15.
Adding to 10230230400 its reverse (403203201), we get a palindrome (10633433601).
The spelling of 10230230400 in words is "ten billion, two hundred thirty million, two hundred thirty thousand, four hundred".
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