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1352552014341 = 321127117493139
BaseRepresentation
bin10011101011101010011…
…000011110001000000101
311210022011200020101101200
4103223222120132020011
5134130011303424331
62513204231413113
7166501333300233
oct23535230361005
94708150211350
101352552014341
11481683395400
1219a172b24199
139a7117a8808
144966cbc9953
15252b286c5e6
hex13aea61e205

1352552014341 has 36 divisors (see below), whose sum is σ = 2177686012320. Its totient is φ = 808182975600.

The previous prime is 1352552014321. The next prime is 1352552014427. The reversal of 1352552014341 is 1434102552531.

1352552014341 is a `hidden beast` number, since 1 + 3 + 52 + 5 + 520 + 1 + 43 + 41 = 666.

It is not a de Polignac number, because 1352552014341 - 26 = 1352552014277 is a prime.

It is a super-3 number, since 3×13525520143413 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1352552014296 and 1352552014305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1352552014321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8669251 + ... + 8823888.

It is an arithmetic number, because the mean of its divisors is an integer number (60491278120).

Almost surely, 21352552014341 is an apocalyptic number.

1352552014341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1352552014341 is a deficient number, since it is larger than the sum of its proper divisors (825133997979).

1352552014341 is a wasteful number, since it uses less digits than its factorization.

1352552014341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17493238 (or 17493224 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 1352552014341 its reverse (1434102552531), we get a palindrome (2786654566872).

The spelling of 1352552014341 in words is "one trillion, three hundred fifty-two billion, five hundred fifty-two million, fourteen thousand, three hundred forty-one".

Divisors: 1 3 9 11 33 71 99 121 213 363 639 781 1089 2343 7029 8591 25773 77319 17493139 52479417 157438251 192424529 577273587 1242012869 1731820761 2116669819 3726038607 6350009457 11178115821 13662141559 19050028371 40986424677 122959274031 150283557149 450850671447 1352552014341