Search a number
-
+
10202210109 = 3271312456911
BaseRepresentation
bin10011000000001100…
…10101111100111101
3222100000020222020200
421200012111330331
5131343231210414
64404204434113
7510551232540
oct114006257475
928300228220
1010202210109
114365977503
121b88848939
13c67869720
146cad5c857
153eaa02109
hex260195f3d

10202210109 has 24 divisors (see below), whose sum is σ = 18137263872. Its totient is φ = 5381385120.

The previous prime is 10202210099. The next prime is 10202210173. The reversal of 10202210109 is 90101220201.

10202210109 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 10202210109 - 29 = 10202209597 is a prime.

It is a super-2 number, since 2×102022101092 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10202210091 and 10202210100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202210009) 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 23 ways as a sum of consecutive naturals, for example, 6227637 + ... + 6229274.

It is an arithmetic number, because the mean of its divisors is an integer number (755719328).

Almost surely, 210202210109 is an apocalyptic number.

It is an amenable number.

10202210109 is a deficient number, since it is larger than the sum of its proper divisors (7935053763).

10202210109 is a wasteful number, since it uses less digits than its factorization.

10202210109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12456937 (or 12456934 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 10202210109 in words is "ten billion, two hundred two million, two hundred ten thousand, one hundred nine".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 12456911 37370733 87198377 112112199 161939843 261595131 485819529 784785393 1133578901 1457458587 3400736703 10202210109