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10213101318 = 237243169079
BaseRepresentation
bin10011000001011111…
…11000111100000110
3222100202202022011210
421200233320330012
5131404023220233
64405234112250
7511042633410
oct114057707406
928322668153
1010213101318
114371036202
121b9041b686
13c69bb0b24
146cc5959b0
153eb954163
hex260bf8f06

10213101318 has 16 divisors (see below), whose sum is σ = 23344231680. Its totient is φ = 2918028936.

The previous prime is 10213101307. The next prime is 10213101319. The reversal of 10213101318 is 81310131201.

It is a happy number.

10213101318 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10213101294 and 10213101303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10213101319) 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, 121584498 + ... + 121584581.

It is an arithmetic number, because the mean of its divisors is an integer number (1459014480).

Almost surely, 210213101318 is an apocalyptic number.

10213101318 is an abundant number, since it is smaller than the sum of its proper divisors (13131130362).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10213101318 is a wasteful number, since it uses less digits than its factorization.

10213101318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243169091.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 10213101318 its reverse (81310131201), we get a palindrome (91523232519).

The spelling of 10213101318 in words is "ten billion, two hundred thirteen million, one hundred one thousand, three hundred eighteen".

Divisors: 1 2 3 6 7 14 21 42 243169079 486338158 729507237 1459014474 1702183553 3404367106 5106550659 10213101318