Search a number
-
+
122001113130 = 235131015130817
BaseRepresentation
bin111000110011111010…
…1010100000000101010
3102122220110121200122120
41301213311110000222
53444324241110010
6132014015132110
711546205231321
oct1614765240052
9378813550576
10122001113130
11478164a2026
121b789b14036
13b673961290
145c950110b8
1532909d7e70
hex1c67d5402a

122001113130 has 64 divisors (see below), whose sum is σ = 315367250688. Its totient is φ = 30027110400.

The previous prime is 122001113063. The next prime is 122001113131. The reversal of 122001113130 is 31311100221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (122001113131) 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 31 ways as a sum of consecutive naturals, for example, 3943482 + ... + 3974298.

It is an arithmetic number, because the mean of its divisors is an integer number (4927613292).

Almost surely, 2122001113130 is an apocalyptic number.

122001113130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122001113130 is an abundant number, since it is smaller than the sum of its proper divisors (193366137558).

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

122001113130 is a wasteful number, since it uses less digits than its factorization.

122001113130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40991.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 122001113130 its reverse (31311100221), we get a palindrome (153312213351).

The spelling of 122001113130 in words is "one hundred twenty-two billion, one million, one hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 10151 20302 30453 30817 50755 60906 61634 92451 101510 131963 152265 154085 184902 263926 304530 308170 395889 400621 462255 659815 791778 801242 924510 1201863 1319630 1979445 2003105 2403726 3958890 4006210 6009315 12018630 312823367 625646734 938470101 1564116835 1876940202 3128233670 4066703771 4692350505 8133407542 9384701010 12200111313 20333518855 24400222626 40667037710 61000556565 122001113130