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10270765351 = 711133386563
BaseRepresentation
bin10011001000010111…
…10111000100100111
3222111210020221100201
421210023313010213
5132013303442401
64415054051331
7512343031210
oct114413670447
928453227321
1010270765351
1143a0641030
121ba77a9b47
13c78b20762
146d60c6407
15401a44b01
hex2642f7127

10270765351 has 8 divisors (see below), whose sum is σ = 12805110144. Its totient is φ = 8003193720.

The previous prime is 10270765319. The next prime is 10270765459. The reversal of 10270765351 is 15356707201.

10270765351 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10270765351 - 25 = 10270765319 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10270765351.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10270763351) 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 7 ways as a sum of consecutive naturals, for example, 66693205 + ... + 66693358.

It is an arithmetic number, because the mean of its divisors is an integer number (1600638768).

Almost surely, 210270765351 is an apocalyptic number.

10270765351 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10270765351 is a deficient number, since it is larger than the sum of its proper divisors (2534344793).

10270765351 is a wasteful number, since it uses less digits than its factorization.

10270765351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133386581.

The product of its (nonzero) digits is 44100, while the sum is 37.

The spelling of 10270765351 in words is "ten billion, two hundred seventy million, seven hundred sixty-five thousand, three hundred fifty-one".

Divisors: 1 7 11 77 133386563 933705941 1467252193 10270765351