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10202210205 = 3511311994567
BaseRepresentation
bin10011000000001100…
…10101111110011101
3222100000020222101020
421200012111332131
5131343231211310
64404204434353
7510551233035
oct114006257635
928300228336
1010202210205
114365977590
121b888489b9
13c67869795
146cad5c8c5
153eaa02170
hex260195f9d

10202210205 has 32 divisors (see below), whose sum is σ = 18381938688. Its totient is φ = 4786958400.

The previous prime is 10202210201. The next prime is 10202210209. The reversal of 10202210205 is 50201220201.

10202210205 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10202210201) and next prime (10202210209).

It is not a de Polignac number, because 10202210205 - 22 = 10202210201 is a prime.

It is a super-2 number, since 2×102022102052 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202210201) 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 31 ways as a sum of consecutive naturals, for example, 992169 + ... + 1002398.

It is an arithmetic number, because the mean of its divisors is an integer number (574435584).

Almost surely, 210202210205 is an apocalyptic number.

10202210205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10202210205 is a deficient number, since it is larger than the sum of its proper divisors (8179728483).

10202210205 is a wasteful number, since it uses less digits than its factorization.

10202210205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994617.

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 10202210205 its reverse (50201220201), we get a palindrome (60403430406).

The spelling of 10202210205 in words is "ten billion, two hundred two million, two hundred ten thousand, two hundred five".

Divisors: 1 3 5 11 15 31 33 55 93 155 165 341 465 1023 1705 5115 1994567 5983701 9972835 21940237 29918505 61831577 65820711 109701185 185494731 309157885 329103555 680147347 927473655 2040442041 3400736735 10202210205