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202123103 = 71323269359
BaseRepresentation
bin11000000110000…
…10011101011111
3112002022220202212
430003002131133
5403220414403
632020111035
75003006120
oct1403023537
9462286685
10202123103
11a4103096
125783547b
1332b4b790
141cbb6047
1512b284d8
hexc0c275f

202123103 has 32 divisors (see below), whose sum is σ = 261273600. Its totient is φ = 151975296.

The previous prime is 202123093. The next prime is 202123111. The reversal of 202123103 is 301321202.

It is a happy number.

202123103 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 202123103 - 216 = 202057567 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202123903) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 562838 + ... + 563196.

It is an arithmetic number, because the mean of its divisors is an integer number (8164800).

Almost surely, 2202123103 is an apocalyptic number.

202123103 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

202123103 is a deficient number, since it is larger than the sum of its proper divisors (59150497).

202123103 is a wasteful number, since it uses less digits than its factorization.

202123103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 202123103 is about 14217.0004923683. Note that the first 3 decimals coincide. The cubic root of 202123103 is about 586.8655984647.

Subtracting from 202123103 its sum of digits (14), we obtain a square (202123089 = 142172).

Adding to 202123103 its reverse (301321202), we get a palindrome (503444305).

The spelling of 202123103 in words is "two hundred two million, one hundred twenty-three thousand, one hundred three".

Divisors: 1 7 13 23 91 161 269 299 359 1883 2093 2513 3497 4667 6187 8257 24479 32669 43309 57799 80431 96571 107341 563017 675997 751387 1255423 2221133 8787961 15547931 28874729 202123103