Search a number
-
+
122220210020 = 225311759112069
BaseRepresentation
bin111000111010011100…
…1000110011101100100
3102200110201212222002012
41301310321012131210
54000301333210040
6132051443133352
711554505433626
oct1616471063544
9380421788065
10122220210020
1147919138837
121b82b374258
13b6aa1738cc
145cb6164c16
1532a4d65865
hex1c74e46764

122220210020 has 48 divisors (see below), whose sum is σ = 265094860800. Its totient is φ = 47283730560.

The previous prime is 122220210017. The next prime is 122220210067. The reversal of 122220210020 is 20012022221.

It is a junction number, because it is equal to n+sod(n) for n = 122220209977 and 122220210004.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1034546 + ... + 1146614.

It is an arithmetic number, because the mean of its divisors is an integer number (5522809600).

Almost surely, 2122220210020 is an apocalyptic number.

122220210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122220210020 is an abundant number, since it is smaller than the sum of its proper divisors (142874650780).

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

122220210020 is a wasteful number, since it uses less digits than its factorization.

122220210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113868 (or 113866 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 122220210020 its reverse (20012022221), we get a palindrome (142232232241).

The spelling of 122220210020 in words is "one hundred twenty-two billion, two hundred twenty million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 1759 3518 7036 8795 17590 35180 54529 109058 112069 218116 224138 272645 448276 545290 560345 1090580 1120690 2241380 3474139 6948278 13896556 17370695 34741390 69482780 197129371 394258742 788517484 985646855 1971293710 3942587420 6111010501 12222021002 24444042004 30555052505 61110105010 122220210020