Search a number
-
+
122141210550 = 23523183316469
BaseRepresentation
bin111000111000000101…
…1101111011110110110
3102200021020020101011220
41301300023233132312
54000121122214200
6132035542011210
711552526105522
oct1616013573666
9380236211156
10122141210550
1147888590317
121b808a16b06
13b6969a3a68
145ca987cd82
15329ce5d4a0
hex1c702ef7b6

122141210550 has 96 divisors (see below), whose sum is σ = 316449745920. Its totient is φ = 31140451200.

The previous prime is 122141210507. The next prime is 122141210551. The reversal of 122141210550 is 55012141221.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 122141210550.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122141210551) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 227716 + ... + 544184.

It is an arithmetic number, because the mean of its divisors is an integer number (3296351520).

Almost surely, 2122141210550 is an apocalyptic number.

122141210550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122141210550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158224872960).

122141210550 is an abundant number, since it is smaller than the sum of its proper divisors (194308535370).

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

122141210550 is a wasteful number, since it uses less digits than its factorization.

122141210550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316598 (or 316593 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

Adding to 122141210550 its reverse (55012141221), we get a palindrome (177153351771).

The spelling of 122141210550 in words is "one hundred twenty-two billion, one hundred forty-one million, two hundred ten thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 50 62 75 83 93 150 155 166 186 249 310 415 465 498 775 830 930 1245 1550 2075 2325 2490 2573 4150 4650 5146 6225 7719 12450 12865 15438 25730 38595 64325 77190 128650 192975 316469 385950 632938 949407 1582345 1898814 3164690 4747035 7911725 9494070 9810539 15823450 19621078 23735175 26266927 29431617 47470350 49052695 52533854 58863234 78800781 98105390 131334635 147158085 157601562 245263475 262669270 294316170 394003905 490526950 656673175 735790425 788007810 814274737 1313346350 1471580850 1628549474 1970019525 2442824211 3940039050 4071373685 4885648422 8142747370 12214121055 20356868425 24428242110 40713736850 61070605275 122141210550