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101101230203123 = 17538310912403009
BaseRepresentation
bin10110111111001101110110…
…111010011010000011110011
3111020222011221120020002110002
4112333031312322122003303
5101222420304412444443
6555005133003500215
730203215506340643
oct2677156672320363
9436864846202402
10101101230203123
112a239877822a67
12b40a11952766b
134454a60a5bc57
141ad747b82c523
15ba4d1d2752b8
hex5bf376e9a0f3

101101230203123 has 32 divisors (see below), whose sum is σ = 111394905652800. Its totient is φ = 91387744321536.

The previous prime is 101101230203119. The next prime is 101101230203177. The reversal of 101101230203123 is 321302032101101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101101230203123 - 22 = 101101230203119 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101101230203095 and 101101230203104.

It is not an unprimeable number, because it can be changed into a prime (101101230103123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1949843 + ... + 14352851.

It is an arithmetic number, because the mean of its divisors is an integer number (3481090801650).

Almost surely, 2101101230203123 is an apocalyptic number.

101101230203123 is a deficient number, since it is larger than the sum of its proper divisors (10293675449677).

101101230203123 is a wasteful number, since it uses less digits than its factorization.

101101230203123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12403271.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 101101230203123 its reverse (321302032101101), we get a palindrome (422403262304224).

The spelling of 101101230203123 in words is "one hundred one trillion, one hundred one billion, two hundred thirty million, two hundred three thousand, one hundred twenty-three".

Divisors: 1 17 53 83 109 901 1411 1853 4399 5777 9047 74783 98209 153799 479491 8151347 12403009 210851153 657359477 1029449747 1351927981 11175111109 17500645699 22982775677 54560836591 71652182993 112210022423 927534222047 1218087110881 1907570381191 5947131188419 101101230203123