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122133030030 = 232511123366697
BaseRepresentation
bin111000110111110110…
…0100010010010001110
3102200020122211202121200
41301233230202102032
54000112023430110
6132035050410330
711552366424564
oct1615754422216
9380218752550
10122133030030
1147883a03160
121b8061309a6
13b69509b40b
145ca874da34
15329c3946c0
hex1c6fb2248e

122133030030 has 48 divisors (see below), whose sum is σ = 346413687984. Its totient is φ = 29608007040.

The previous prime is 122133029999. The next prime is 122133030037. The reversal of 122133030030 is 30030331221.

122133030030 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 330 + 300 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122133029985 and 122133030012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122133030037) 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 23 ways as a sum of consecutive naturals, for example, 61682359 + ... + 61684338.

It is an arithmetic number, because the mean of its divisors is an integer number (7216951833).

Almost surely, 2122133030030 is an apocalyptic number.

122133030030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122133030030 is an abundant number, since it is smaller than the sum of its proper divisors (224280657954).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122133030030 is a wasteful number, since it uses less digits than its factorization.

122133030030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123366721 (or 123366718 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 122133030030 its reverse (30030331221), we get a palindrome (152163361251).

The spelling of 122133030030 in words is "one hundred twenty-two billion, one hundred thirty-three million, thirty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 123366697 246733394 370100091 616833485 740200182 1110300273 1233666970 1357033667 1850500455 2220600546 2714067334 3701000910 4071101001 5551501365 6785168335 8142202002 11103002730 12213303003 13570336670 20355505005 24426606006 40711010010 61066515015 122133030030