Search a number
-
+
201432234102 = 2311131173134669
BaseRepresentation
bin1011101110011001001…
…0111111100001110110
3201020221011021201022220
42323212102333201312
511300013122442402
6232311531503210
720360451511431
oct2734622774166
9636834251286
10201432234102
1178477276950
12330572b7b06
1315cc1c75788
149a6c3c4818
15538e084dbc
hex2ee64bf876

201432234102 has 64 divisors (see below), whose sum is σ = 445406480640. Its totient is φ = 60223529600.

The previous prime is 201432234097. The next prime is 201432234109.

It is a happy number.

201432234102 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201432234109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1428424 + ... + 1563092.

It is an arithmetic number, because the mean of its divisors is an integer number (6959476260).

Almost surely, 2201432234102 is an apocalyptic number.

201432234102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 201432234102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222703240320).

201432234102 is an abundant number, since it is smaller than the sum of its proper divisors (243974246538).

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

201432234102 is a wasteful number, since it uses less digits than its factorization.

201432234102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134989.

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 201432 and 234102, that added together give a palindrome (435534).

The spelling of 201432234102 in words is "two hundred one billion, four hundred thirty-two million, two hundred thirty-four thousand, one hundred two".

Divisors: 1 2 3 6 11 22 33 66 131 173 262 346 393 519 786 1038 1441 1903 2882 3806 4323 5709 8646 11418 22663 45326 67989 134669 135978 249293 269338 404007 498586 747879 808014 1481359 1495758 2962718 4444077 8888154 17641639 23297737 35283278 46595474 52924917 69893211 105849834 139786422 194058029 256275107 388116058 512550214 582174087 768825321 1164348174 1537650642 3052003547 6104007094 9156010641 18312021282 33572039017 67144078034 100716117051 201432234102