Search a number
-
+
101213323332 = 223117925138669
BaseRepresentation
bin101111001000011001…
…0001100000001000100
3100200020201201112221220
41132100302030001010
53124241102321312
6114255144440340
710212106024212
oct1362062140104
9320221645856
10101213323332
1139a19311960
12177481790b0
13970ccba344
144c8225bcb2
152975a07c8c
hex1790c8c044

101213323332 has 96 divisors (see below), whose sum is σ = 261941299200. Its totient is φ = 30161040000.

The previous prime is 101213323319. The next prime is 101213323333. The reversal of 101213323332 is 233323312101.

It is not an unprimeable number, because it can be changed into a prime (101213323333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2598094 + ... + 2636762.

It is an arithmetic number, because the mean of its divisors is an integer number (2728555200).

Almost surely, 2101213323332 is an apocalyptic number.

101213323332 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 101213323332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130970649600).

101213323332 is an abundant number, since it is smaller than the sum of its proper divisors (160727975868).

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

101213323332 is a wasteful number, since it uses less digits than its factorization.

101213323332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39017 (or 39015 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 101213323332 its reverse (233323312101), we get a palindrome (334536635433).

The spelling of 101213323332 in words is "one hundred one billion, two hundred thirteen million, three hundred twenty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 79 132 158 237 251 316 474 502 753 869 948 1004 1506 1738 2607 2761 3012 3476 5214 5522 8283 10428 11044 16566 19829 33132 38669 39658 59487 77338 79316 116007 118974 154676 218119 232014 237948 425359 436238 464028 654357 850718 872476 1276077 1308714 1701436 2552154 2617428 3054851 5104308 6109702 9164553 9705919 12219404 18329106 19411838 29117757 33603361 36658212 38823676 58235514 67206722 100810083 106765109 116471028 134413444 201620166 213530218 320295327 403240332 427060436 640590654 766767601 1281181308 1533535202 2300302803 3067070404 4600605606 8434443611 9201211212 16868887222 25303330833 33737774444 50606661666 101213323332