Search a number
-
+
10216715145 = 3571316744819
BaseRepresentation
bin10011000001111011…
…01011001110001001
3222101000112220102020
421200331223032021
5131410434341040
64405443355053
7511115434350
oct114075531611
928330486366
1010216715145
11437308433a
121b91682a89
13c6a8779a0
146ccc56997
153ebe19cd0
hex260f6b389

10216715145 has 64 divisors (see below), whose sum is σ = 20239994880. Its totient is φ = 4285317888.

The previous prime is 10216715143. The next prime is 10216715189. The reversal of 10216715145 is 54151761201.

10216715145 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10216715145 - 21 = 10216715143 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10216715143) 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 63 ways as a sum of consecutive naturals, for example, 205546 + ... + 250364.

It is an arithmetic number, because the mean of its divisors is an integer number (316249920).

Almost surely, 210216715145 is an apocalyptic number.

10216715145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10216715145 is a deficient number, since it is larger than the sum of its proper divisors (10023279735).

10216715145 is a wasteful number, since it uses less digits than its factorization.

10216715145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45014.

The product of its (nonzero) digits is 8400, while the sum is 33.

The spelling of 10216715145 in words is "ten billion, two hundred sixteen million, seven hundred fifteen thousand, one hundred forty-five".

Divisors: 1 3 5 7 13 15 21 35 39 65 91 105 167 195 273 455 501 835 1169 1365 2171 2505 3507 5845 6513 10855 15197 17535 32565 44819 45591 75985 134457 224095 227955 313733 582647 672285 941199 1568665 1747941 2913235 4078529 4705995 7484773 8739705 12235587 20392645 22454319 37423865 52393411 61177935 97302049 112271595 157180233 261967055 291906147 486510245 681114343 785901165 1459530735 2043343029 3405571715 10216715145