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10033134319 = 131940619977
BaseRepresentation
bin10010101100000010…
…10111101011101111
3221220020010000212101
421112001113223233
5131021440244234
64335324515531
7503426143315
oct112601275357
927806100771
1010033134319
11428949634a
121b400abba7
13c3b81bc90
146b270a0b5
153dac55814
hex256057aef

10033134319 has 8 divisors (see below), whose sum is σ = 11373593840. Its totient is φ = 8773914816.

The previous prime is 10033134317. The next prime is 10033134323. The reversal of 10033134319 is 91343133001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10033134319 - 21 = 10033134317 is a prime.

It is a super-2 number, since 2×100331343192 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10033134317) 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 7 ways as a sum of consecutive naturals, for example, 20309742 + ... + 20310235.

It is an arithmetic number, because the mean of its divisors is an integer number (1421699230).

Almost surely, 210033134319 is an apocalyptic number.

10033134319 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

10033134319 is a deficient number, since it is larger than the sum of its proper divisors (1340459521).

10033134319 is a wasteful number, since it uses less digits than its factorization.

10033134319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40620009.

The product of its (nonzero) digits is 2916, while the sum is 28.

The spelling of 10033134319 in words is "ten billion, thirty-three million, one hundred thirty-four thousand, three hundred nineteen".

Divisors: 1 13 19 247 40619977 528059701 771779563 10033134319