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10505151071 = 173119933873
BaseRepresentation
bin10011100100010011…
…11110001001011111
31000010010021222010022
421302021332021133
5133003304313241
64454225502355
7521220211412
oct116211761137
930103258108
1010505151071
11450097a538
1220521a19bb
13cb555702c
14719299b79
154173e254b
hex27227e25f

10505151071 has 8 divisors (see below), whose sum is σ = 11481911424. Its totient is φ = 9568258560.

The previous prime is 10505151049. The next prime is 10505151103. The reversal of 10505151071 is 17015150501.

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 10505151071 - 226 = 10438042207 is a prime.

It is a super-2 number, since 2×105051510712 (a number of 21 digits) contains 22 as substring.

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 10505151071.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10505151001) 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, 9966410 + ... + 9967463.

It is an arithmetic number, because the mean of its divisors is an integer number (1435238928).

Almost surely, 210505151071 is an apocalyptic number.

10505151071 is a deficient number, since it is larger than the sum of its proper divisors (976760353).

10505151071 is a wasteful number, since it uses less digits than its factorization.

10505151071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19933921.

The product of its (nonzero) digits is 875, while the sum is 26.

The spelling of 10505151071 in words is "ten billion, five hundred five million, one hundred fifty-one thousand, seventy-one".

Divisors: 1 17 31 527 19933873 338875841 617950063 10505151071