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122300050221 = 3213588894469
BaseRepresentation
bin111000111100110100…
…1101010101100101101
3102200200022010021020200
41301321221222230231
54000432303101341
6132103414304113
711556465163116
oct1617151525455
9380608107220
10122300050221
114795a20a978
121b852058039
13b6c087932b
145cc29c920d
1532abd86db6
hex1c79a6ab2d

122300050221 has 6 divisors (see below), whose sum is σ = 176655628110. Its totient is φ = 81533366808.

The previous prime is 122300050211. The next prime is 122300050273. The reversal of 122300050221 is 122050003221.

It can be written as a sum of positive squares in only one way, i.e., 112070952900 + 10229097321 = 334770^2 + 101139^2 .

It is not a de Polignac number, because 122300050221 - 235 = 87940311853 is a prime.

It is a super-3 number, since 3×1223000502213 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122300050194 and 122300050203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122300050211) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6794447226 + ... + 6794447243.

It is an arithmetic number, because the mean of its divisors is an integer number (29442604685).

Almost surely, 2122300050221 is an apocalyptic number.

It is an amenable number.

122300050221 is a deficient number, since it is larger than the sum of its proper divisors (54355577889).

122300050221 is a wasteful number, since it uses less digits than its factorization.

122300050221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13588894475 (or 13588894472 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 122300050221 its reverse (122050003221), we get a palindrome (244350053442).

Subtracting from 122300050221 its reverse (122050003221), we obtain a cube (250047000 = 6303).

The spelling of 122300050221 in words is "one hundred twenty-two billion, three hundred million, fifty thousand, two hundred twenty-one".

Divisors: 1 3 9 13588894469 40766683407 122300050221