Search a number
-
+
122200100220 = 2235111031797589
BaseRepresentation
bin111000111001110110…
…0011000110101111100
3102200102100001021121210
41301303230120311330
54000231211201340
6132045444124420
711554142466522
oct1616354306574
9380370037553
10122200100220
1147908852a70
121b824696710
13b6a5c52513
145cb360c312
1532a31e2180
hex1c73b18d7c

122200100220 has 96 divisors (see below), whose sum is σ = 376889909760. Its totient is φ = 29336636160.

The previous prime is 122200100189. The next prime is 122200100221. The reversal of 122200100220 is 22001002221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 122200100196 and 122200100205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122200100221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 830815 + ... + 966774.

It is an arithmetic number, because the mean of its divisors is an integer number (3925936560).

Almost surely, 2122200100220 is an apocalyptic number.

122200100220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122200100220 is an abundant number, since it is smaller than the sum of its proper divisors (254689809540).

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

122200100220 is a wasteful number, since it uses less digits than its factorization.

122200100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1797715 (or 1797713 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 122200100220 its reverse (22001002221), we get a palindrome (144201102441).

The spelling of 122200100220 in words is "one hundred twenty-two billion, two hundred million, one hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 103 110 132 165 206 220 309 330 412 515 618 660 1030 1133 1236 1545 2060 2266 3090 3399 4532 5665 6180 6798 11330 13596 16995 22660 33990 67980 1797589 3595178 5392767 7190356 8987945 10785534 17975890 19773479 21571068 26963835 35951780 39546958 53927670 59320437 79093916 98867395 107855340 118640874 185151667 197734790 237281748 296602185 370303334 395469580 555455001 593204370 740606668 925758335 1110910002 1186408740 1851516670 2036668337 2221820004 2777275005 3703033340 4073336674 5554550010 6110005011 8146673348 10183341685 11109100020 12220010022 20366683370 24440020044 30550025055 40733366740 61100050110 122200100220