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10202216343 = 31131101293337
BaseRepresentation
bin10011000000001100…
…10111011110010111
3222100000021021210120
421200012113132113
5131343231410333
64404204523023
7510551256654
oct114006273627
928300237716
1010202216343
114365981160
121b88850473
13c6786c507
146cad60c2b
153eaa03db3
hex260197797

10202216343 has 64 divisors (see below), whose sum is σ = 15568809984. Its totient is φ = 5886720000.

The previous prime is 10202216279. The next prime is 10202216347. The reversal of 10202216343 is 34361220201.

10202216343 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 10202216343 - 26 = 10202216279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202216347) 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, 30273471 + ... + 30273807.

It is an arithmetic number, because the mean of its divisors is an integer number (243262656).

Almost surely, 210202216343 is an apocalyptic number.

10202216343 is a deficient number, since it is larger than the sum of its proper divisors (5366593641).

10202216343 is a wasteful number, since it uses less digits than its factorization.

10202216343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10202216343 its reverse (34361220201), we get a palindrome (44563436544).

The spelling of 10202216343 in words is "ten billion, two hundred two million, two hundred sixteen thousand, three hundred forty-three".

Divisors: 1 3 11 31 33 93 101 293 303 337 341 879 1011 1023 1111 3131 3223 3333 3707 9083 9393 9669 10447 11121 27249 29593 31341 34037 34441 88779 98741 99913 102111 103323 114917 296223 299739 325523 344751 374407 917383 976569 1055147 1086151 1123221 2752149 3060971 3165441 3258453 9182913 9972841 10091213 11606617 29918523 30273639 33670681 34819851 101012043 109701251 309158071 329103753 927474213 3400738781 10202216343