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132104422443221 = 17416119131624201
BaseRepresentation
bin11110000010010111110101…
…001011000100100011010101
3122022202001121100002212120222
4132002113311023010203111
5114303344324121140341
61144543533414204125
736553141511266514
oct3602276513044325
9568661540085528
10132104422443221
1139102197572168
121299687b953645
1358935169194a7
142489c6118a67b
151041514b7e44b
hex7825f52c48d5

132104422443221 has 32 divisors (see below), whose sum is σ = 145712047019616. Its totient is φ = 119250063360000.

The previous prime is 132104422443173. The next prime is 132104422443233. The reversal of 132104422443221 is 122344224401231.

It can be written as a sum of positive squares in 16 ways, for example, as 31470641416900 + 100633781026321 = 5609870^2 + 10031639^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-132104422443221 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132104422443241) 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, 80522921 + ... + 82147121.

It is an arithmetic number, because the mean of its divisors is an integer number (4553501469363).

Almost surely, 2132104422443221 is an apocalyptic number.

It is an amenable number.

132104422443221 is a deficient number, since it is larger than the sum of its proper divisors (13607624576395).

132104422443221 is a wasteful number, since it uses less digits than its factorization.

132104422443221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626233.

The product of its (nonzero) digits is 73728, while the sum is 35.

Adding to 132104422443221 its reverse (122344224401231), we get a palindrome (254448646844452).

The spelling of 132104422443221 in words is "one hundred thirty-two trillion, one hundred four billion, four hundred twenty-two million, four hundred forty-three thousand, two hundred twenty-one".

Divisors: 1 17 41 61 697 1037 1913 2501 32521 42517 78433 116693 1333361 1624201 1983781 4784413 27611417 66592241 81335021 99076261 1132068097 1684296437 3107096513 4062126701 52820640721 69056153917 127390957033 189532887293 2165646269561 3222059083981 7770848379013 132104422443221