Search a number
-
+
101212201332 = 2232112943972113
BaseRepresentation
bin101111001000010110…
…1111010000101110100
3100200020122121112212100
41132100231322011310
53124240310420312
6114255104422100
710212063342114
oct1362055720564
9320218545770
10101212201332
1139a18715990
1217747917930
13970c9b6738
144c82049044
1529758855dc
hex1790b7a174

101212201332 has 288 divisors, whose sum is σ = 298626007680. Its totient is φ = 28612362240.

The previous prime is 101212201313. The next prime is 101212201333. The reversal of 101212201332 is 233102212101.

101212201332 is a `hidden beast` number, since 10 + 121 + 2 + 201 + 332 = 666.

101212201332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101212201333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47898708 + ... + 47900820.

It is an arithmetic number, because the mean of its divisors is an integer number (1036895860).

Almost surely, 2101212201332 is an apocalyptic number.

101212201332 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 101212201332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149313003840).

101212201332 is an abundant number, since it is smaller than the sum of its proper divisors (197413806348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101212201332 is a wasteful number, since it uses less digits than its factorization.

101212201332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101212201332 its reverse (233102212101), we get a palindrome (334314413433).

The spelling of 101212201332 in words is "one hundred one billion, two hundred twelve million, two hundred one thousand, three hundred thirty-two".