Search a number
-
+
132334200512241 = 37132692716649483
BaseRepresentation
bin11110000101101101110101…
…000000110101111011110001
3122100120000200222002012101120
4132011231311000311323301
5114321130420312342431
61145241254211452453
736605554565534340
oct3605556500657361
9570500628065346
10132334200512241
113919068a275362
1212a13307bb7129
1358ac0a5338140
14249701c025b57
1510474b24e0196
hex785b75035ef1

132334200512241 has 64 divisors (see below), whose sum is σ = 218775471022080. Its totient is φ = 69286538522880.

The previous prime is 132334200512177. The next prime is 132334200512263. The reversal of 132334200512241 is 142215002433231.

It is a happy number.

It is not a de Polignac number, because 132334200512241 - 26 = 132334200512177 is a prime.

It is a super-2 number, since 2×1323342005122412 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132334200512291) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16576686 + ... + 23226168.

It is an arithmetic number, because the mean of its divisors is an integer number (3418366734720).

Almost surely, 2132334200512241 is an apocalyptic number.

It is an amenable number.

132334200512241 is a deficient number, since it is larger than the sum of its proper divisors (86441270509839).

132334200512241 is a wasteful number, since it uses less digits than its factorization.

132334200512241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6650046.

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 132334200512241 its reverse (142215002433231), we get a palindrome (274549202945472).

The spelling of 132334200512241 in words is "one hundred thirty-two trillion, three hundred thirty-four billion, two hundred million, five hundred twelve thousand, two hundred forty-one".

Divisors: 1 3 7 13 21 39 91 269 271 273 807 813 1883 1897 3497 3523 5649 5691 10491 10569 24479 24661 72899 73437 73983 218697 510293 947687 1530879 2843061 6633809 6649483 19901427 19948449 46546381 86443279 139639143 259329837 605102953 1788710927 1802009893 1815308859 5366132781 5406029679 12520976489 12614069251 23253242051 23426128609 37562929467 37842207753 69759726153 70278385827 162772694357 163982900263 484740661217 488318083071 491948700789 1454221983651 3393184628519 6301628595821 10179553885557 18904885787463 44111400170747 132334200512241