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132020135353521 = 3417419301975793
BaseRepresentation
bin11110000001001001010101…
…010001010101110010110001
3122022110000001020002002010000
4132001021111101111302301
5114301004214122303041
61144441113553300213
736544066011662232
oct3601112521256261
9568400036062100
10132020135353521
113907a474716148
1212982478264669
1358885a356560c
142485b46cc9089
15103e23012bbb6
hex781255455cb1

132020135353521 has 80 divisors (see below), whose sum is σ = 209386624708800. Its totient is φ = 82610000934912.

The previous prime is 132020135353501. The next prime is 132020135353523. The reversal of 132020135353521 is 125353531020231.

132020135353521 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 20 + 13 + 53 + 53 + 521 = 666.

It is not a de Polignac number, because 132020135353521 - 29 = 132020135353009 is a prime.

It is a super-2 number, since 2×1320201353535212 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (132020135353523) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1741813401 + ... + 1741889193.

It is an arithmetic number, because the mean of its divisors is an integer number (2617332808860).

Almost surely, 2132020135353521 is an apocalyptic number.

It is an amenable number.

132020135353521 is a deficient number, since it is larger than the sum of its proper divisors (77366489355279).

132020135353521 is a wasteful number, since it uses less digits than its factorization.

132020135353521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79260 (or 79251 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

Adding to 132020135353521 its reverse (125353531020231), we get a palindrome (257373666373752).

The spelling of 132020135353521 in words is "one hundred thirty-two trillion, twenty billion, one hundred thirty-five million, three hundred fifty-three thousand, five hundred twenty-one".

Divisors: 1 3 9 17 27 51 81 153 419 459 1257 1377 3019 3771 7123 9057 11313 21369 27171 33939 51323 64107 75793 81513 153969 192321 227379 244539 461907 576963 682137 1264961 1288481 1385721 2046411 3794883 3865443 4157163 6139233 11384649 11596329 21504337 31757267 34153947 34788987 64513011 95271801 102461841 104366961 193539033 228819067 285815403 539873539 580617099 686457201 857446209 1619620617 1741851297 2059371603 2572338627 3889924139 4858861851 6178114809 11669772417 14576585553 18534344427 35009317251 43729756659 95875189073 105027951753 287625567219 315083855259 862876701657 1629878214241 2588630104971 4889634642723 7765890314913 14668903928169 44006711784507 132020135353521