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132221522422024 = 23721975072364809
BaseRepresentation
bin11110000100000100111000…
…111000000010100100001000
3122100011020212020101010212221
4132010010320320002210020
5114312304134220001044
61145113421233143424
736564455404552600
oct3604047070024410
9570136766333787
10132221522422024
1139147918443452
12129b55003bab74
1358a1589056289
1424917ad2b3c00
1510445ba23e484
hex784138e02908

132221522422024 has 96 divisors (see below), whose sum is σ = 303610388508000. Its totient is φ = 53676752516352.

The previous prime is 132221522422021. The next prime is 132221522422049. The reversal of 132221522422024 is 420224225122231.

It is a happy number.

132221522422024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (132221522422021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54729732 + ... + 57094540.

It is an arithmetic number, because the mean of its divisors is an integer number (3162608213625).

Almost surely, 2132221522422024 is an apocalyptic number.

132221522422024 is a gapful number since it is divisible by the number (14) 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 132221522422024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151805194254000).

132221522422024 is an abundant number, since it is smaller than the sum of its proper divisors (171388866085976).

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

132221522422024 is a wasteful number, since it uses less digits than its factorization.

132221522422024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2372355 (or 2372344 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 34.

Adding to 132221522422024 its reverse (420224225122231), we get a palindrome (552445747544255).

The spelling of 132221522422024 in words is "one hundred thirty-two trillion, two hundred twenty-one billion, five hundred twenty-two million, four hundred twenty-two thousand, twenty-four".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 98 133 152 196 266 392 532 931 1064 1862 3724 7448 7507 15014 30028 52549 60056 105098 142633 210196 285266 367843 420392 570532 735686 998431 1141064 1471372 1996862 2364809 2942744 3993724 4729618 6989017 7987448 9459236 13978034 16553663 18918472 27956068 33107326 44931371 55912136 66214652 89862742 115875641 132429304 179725484 231751282 314519597 359450968 463502564 629039194 927005128 1258078388 2201637179 2516156776 4403274358 8806548716 17613097432 17752621163 35505242326 71010484652 124268348141 142020969304 248536696282 337299802097 497073392564 674599604194 869878436987 994146785128 1349199208388 1739756873974 2361098614679 2698398416776 3479513747948 4722197229358 6959027495896 9444394458716 16527690302753 18888788917432 33055380605506 66110761211012 132221522422024