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35305005141 = 357225111813
BaseRepresentation
bin100000111000010101…
…111010000001010101
310101010110121002100000
4200320111322001111
51034301040131031
624115140441513
72356614410100
oct407025720125
9111113532300
1035305005141
1113a778339aa
126a136a9299
1334384849b3
1419ccc23737
15db972c3e6
hex83857a055

35305005141 has 72 divisors (see below), whose sum is σ = 61769451744. Its totient is φ = 20092212000.

The previous prime is 35305005067. The next prime is 35305005143. The reversal of 35305005141 is 14150050353.

It is not a de Polignac number, because 35305005141 - 27 = 35305005013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35305005143) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2982751 + ... + 2994563.

It is an arithmetic number, because the mean of its divisors is an integer number (857909052).

Almost surely, 235305005141 is an apocalyptic number.

It is an amenable number.

35305005141 is a deficient number, since it is larger than the sum of its proper divisors (26464446603).

35305005141 is a wasteful number, since it uses less digits than its factorization.

35305005141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12093 (or 12074 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

Adding to 35305005141 its reverse (14150050353), we get a palindrome (49455055494).

The spelling of 35305005141 in words is "thirty-five billion, three hundred five million, five thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 251 441 567 753 1323 1701 1757 2259 3969 5271 6777 11813 11907 12299 15813 20331 35439 36897 47439 60993 82691 106317 110691 142317 248073 318951 332073 426951 578837 744219 956853 996219 1736511 2232657 2870559 2965063 2988657 5209533 6697971 8895189 15628599 20093913 20755441 26685567 46885797 62266323 80056701 140657391 145288087 186798969 240170103 435864261 560396907 720510309 1307592783 1681190721 3922778349 5043572163 11768335047 35305005141