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130000333333 = 13194749122807
BaseRepresentation
bin111100100010010011…
…1111010101000010101
3110102112221120011212111
41321010213322220111
54112220041131313
6135415450151021
712251346413113
oct1710447725025
9412487504774
10130000333333
1150150887612
1221240a22471
13c349c90480
146413554ab3
1535acdcc43d
hex1e449faa15

130000333333 has 32 divisors (see below), whose sum is σ = 150817443840. Its totient is φ = 111034203840.

The previous prime is 130000333319. The next prime is 130000333343. The reversal of 130000333333 is 333333000031.

It is a cyclic number.

It is not a de Polignac number, because 130000333333 - 25 = 130000333301 is a prime.

It is a super-2 number, since 2×1300003333332 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

130000333333 is a modest number, since divided by 333333 gives 130000 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130000333343) 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 31 ways as a sum of consecutive naturals, for example, 5688616 + ... + 5711422.

It is an arithmetic number, because the mean of its divisors is an integer number (4713045120).

Almost surely, 2130000333333 is an apocalyptic number.

130000333333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

130000333333 is a deficient number, since it is larger than the sum of its proper divisors (20817110507).

130000333333 is a wasteful number, since it uses less digits than its factorization.

130000333333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23377.

The product of its (nonzero) digits is 2187, while the sum is 22.

Adding to 130000333333 its reverse (333333000031), we get a palindrome (463333333364).

The spelling of 130000333333 in words is "one hundred thirty billion, three hundred thirty-three thousand, three hundred thirty-three".

Divisors: 1 13 19 47 247 491 611 893 6383 9329 11609 22807 23077 121277 296491 300001 433333 438463 1071929 5633329 5700019 11198237 13935077 20366651 145577081 212766503 264766463 526317139 2765964539 6842122807 10000025641 130000333333