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203123203101 = 32713442156099
BaseRepresentation
bin1011110100101100010…
…1100001110000011101
3201102022000010211201100
42331023011201300131
511311444014444401
6233151415103313
720450403511260
oct2751305416035
9642260124640
10203123203101
1179164830995
1233449671b39
13162013ac550
149b8cbd8cd7
15543c752b86
hex2f4b161c1d

203123203101 has 48 divisors (see below), whose sum is σ = 361196035200. Its totient is φ = 107115765120.

The previous prime is 203123203097. The next prime is 203123203117. The reversal of 203123203101 is 101302321302.

203123203101 is a `hidden beast` number, since 2 + 0 + 31 + 2 + 320 + 310 + 1 = 666.

203123203101 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 203123203101 - 22 = 203123203097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203123203001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3592750 + ... + 3648848.

It is an arithmetic number, because the mean of its divisors is an integer number (7524917400).

Almost surely, 2203123203101 is an apocalyptic number.

203123203101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

203123203101 is a deficient number, since it is larger than the sum of its proper divisors (158072832099).

203123203101 is a wasteful number, since it uses less digits than its factorization.

203123203101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60546 (or 60543 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 203123203101 its reverse (101302321302), we get a palindrome (304425524403).

The spelling of 203123203101 in words is "two hundred three billion, one hundred twenty-three million, two hundred three thousand, one hundred one".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 4421 13263 30947 39789 56099 57473 92841 168297 172419 278523 392693 402311 504891 517257 729287 1178079 1206933 2187861 3534237 3620799 5105009 6563583 15315027 45945081 248013679 744041037 1736095753 2232123111 3224177827 5208287259 9672533481 15624861777 22569244789 29017600443 67707734367 203123203101