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35030344131 = 333121350073
BaseRepresentation
bin100000100111111110…
…001010000111000011
310100102022202212021000
4200213332022013003
51033220232003011
624032005503043
72350041004116
oct404776120703
9110368685230
1035030344131
1113946797032
126957711a83
1333c35b94a3
1419a456857d
15da0576356
hex827f8a1c3

35030344131 has 24 divisors (see below), whose sum is σ = 53624939280. Its totient is φ = 22600205280.

The previous prime is 35030344121. The next prime is 35030344147. The reversal of 35030344131 is 13144303053.

35030344131 is a `hidden beast` number, since 350 + 303 + 4 + 4 + 1 + 3 + 1 = 666.

It is not a de Polignac number, because 35030344131 - 213 = 35030335939 is a prime.

It is a super-2 number, since 2×350303441312 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 35030344095 and 35030344104.

It is not an unprimeable number, because it can be changed into a prime (35030344121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 649090 + ... + 700983.

It is an arithmetic number, because the mean of its divisors is an integer number (2234372470).

Almost surely, 235030344131 is an apocalyptic number.

35030344131 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

35030344131 is a deficient number, since it is larger than the sum of its proper divisors (18594595149).

35030344131 is a wasteful number, since it uses less digits than its factorization.

35030344131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350144 (or 1350107 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 35030344131 its reverse (13144303053), we get a palindrome (48174647184).

The spelling of 35030344131 in words is "thirty-five billion, thirty million, three hundred forty-four thousand, one hundred thirty-one".

Divisors: 1 3 9 27 31 93 279 837 961 2883 8649 25947 1350073 4050219 12150657 36451971 41852263 125556789 376670367 1130011101 1297420153 3892260459 11676781377 35030344131