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10201332123 = 321937243577
BaseRepresentation
bin10011000000000101…
…11111100110011011
3222022221121100212200
421200002333212123
5131343020111443
64404133541243
7510540615033
oct114002774633
928287540780
1010201332123
1143654278a4
121b884a4823
13c6761cbc8
146cabb08c3
153ea8cbdd3
hex2600bf99b

10201332123 has 36 divisors (see below), whose sum is σ = 15941703960. Its totient is φ = 6268669056.

The previous prime is 10201332091. The next prime is 10201332143. The reversal of 10201332123 is 32123310201.

10201332123 is a `hidden beast` number, since 10 + 201 + 332 + 123 = 666.

10201332123 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 10201332123 - 25 = 10201332091 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10201332096 and 10201332105.

It is not an unprimeable number, because it can be changed into a prime (10201332143) 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 35 ways as a sum of consecutive naturals, for example, 212311 + ... + 255887.

It is an arithmetic number, because the mean of its divisors is an integer number (442825110).

Almost surely, 210201332123 is an apocalyptic number.

10201332123 is a deficient number, since it is larger than the sum of its proper divisors (5740371837).

10201332123 is a wasteful number, since it uses less digits than its factorization.

10201332123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43676 (or 43636 counting only the distinct ones).

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

Adding to 10201332123 its reverse (32123310201), we get a palindrome (42324642324).

The spelling of 10201332123 in words is "ten billion, two hundred one million, three hundred thirty-two thousand, one hundred twenty-three".

Divisors: 1 3 9 19 37 57 111 171 333 703 1369 2109 4107 6327 12321 26011 43577 78033 130731 234099 392193 827963 1612349 2483889 4837047 7451667 14511141 30634631 59656913 91903893 178970739 275711679 536912217 1133481347 3400444041 10201332123