| Base | Representation |
|---|---|
| bin | 10010110101011111… |
| … | …11000000010011100 |
| 3 | 222002202022220000220 |
| 4 | 21122233320002130 |
| 5 | 131202240344312 |
| 6 | 4351240321340 |
| 7 | 505411162560 |
| oct | 113257700234 |
| 9 | 28082286026 |
| 10 | 10112434332 |
| 11 | 431a229650 |
| 12 | 1b62773250 |
| 13 | c52095870 |
| 14 | 6bd06d6a0 |
| 15 | 3e2bbbc8c |
| hex | 25abf809c |
10112434332 has 384 divisors, whose sum is σ = 33159211008. Its totient is φ = 2314137600.
The previous prime is 10112434307. The next prime is 10112434351. The reversal of 10112434332 is 23343421101.
It is a happy number.
10112434332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×101124343322 (a number of 21 digits) contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27110898 + ... + 27111270.
It is an arithmetic number, because the mean of its divisors is an integer number (86352112).
Almost surely, 210112434332 is an apocalyptic number.
10112434332 is a gapful number since it is divisible by the number (12) 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 10112434332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16579605504).
10112434332 is an abundant number, since it is smaller than the sum of its proper divisors (23046776676).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10112434332 is a wasteful number, since it uses less digits than its factorization.
10112434332 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 509 (or 507 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 24.
Adding to 10112434332 its reverse (23343421101), we get a palindrome (33455855433).
It can be divided in two parts, 10112 and 434332, that added together give a palindrome (444444).
The spelling of 10112434332 in words is "ten billion, one hundred twelve million, four hundred thirty-four thousand, three hundred thirty-two".
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