Base | Representation |
---|---|
bin | 101111001110111010… |
… | …0100010011110101000 |
3 | 100200210222021200112100 |
4 | 1132131310202132220 |
5 | 3130213100342212 |
6 | 114333000413400 |
7 | 10220403100146 |
oct | 1363564423650 |
9 | 320728250470 |
10 | 101432043432 |
11 | 3a020820575 |
12 | 177a9477260 |
13 | 97463ca315 |
14 | 4ca3314596 |
15 | 2989d0dbdc |
hex | 179dd227a8 |
101432043432 has 72 divisors (see below), whose sum is σ = 278874045450. Its totient is φ = 33305937984.
The previous prime is 101432043373. The next prime is 101432043451. The reversal of 101432043432 is 234340234101.
101432043432 is a `hidden beast` number, since 10 + 14 + 3 + 204 + 3 + 432 = 666.
It can be written as a sum of positive squares in only one way, i.e., 83078838756 + 18353204676 = 288234^2 + 135474^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is a super-2 number, since 2×1014320434322 (a number of 23 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 101432043396 and 101432043405.
It is an unprimeable number.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 166294 + ... + 480122.
Almost surely, 2101432043432 is an apocalyptic number.
101432043432 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 101432043432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139437022725).
101432043432 is an abundant number, since it is smaller than the sum of its proper divisors (177442002018).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101432043432 is a wasteful number, since it uses less digits than its factorization.
101432043432 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 313975 (or 313901 counting only the distinct ones).
The product of its (nonzero) digits is 6912, while the sum is 27.
Adding to 101432043432 its reverse (234340234101), we get a palindrome (335772277533).
The spelling of 101432043432 in words is "one hundred one billion, four hundred thirty-two million, forty-three thousand, four hundred thirty-two".
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