Search a number
-
+
122232212010101 = 3141271547764793
BaseRepresentation
bin11011110010101101100111…
…100100111011010001110101
3121000210021201000111020012002
4123302231213210323101311
5112010123032233310401
61111544411503105045
734513662106205144
oct3362554744732165
9530707630436162
10122232212010101
1135a46432102146
12118615085a2185
1353285a97203cb
1422280dbb3175b
15e1e8189c1a6b
hex6f2b6793b475

122232212010101 has 32 divisors (see below), whose sum is σ = 129755265970176. Its totient is φ = 114955521408000.

The previous prime is 122232212010037. The next prime is 122232212010191. The reversal of 122232212010101 is 101010212232221.

It is a cyclic number.

It is not a de Polignac number, because 122232212010101 - 26 = 122232212010037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122232212010191) 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, 1886470961 + ... + 1886535753.

It is an arithmetic number, because the mean of its divisors is an integer number (4054852061568).

Almost surely, 2122232212010101 is an apocalyptic number.

It is an amenable number.

122232212010101 is a deficient number, since it is larger than the sum of its proper divisors (7523053960075).

122232212010101 is a wasteful number, since it uses less digits than its factorization.

122232212010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70613.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 122232212010101 its reverse (101010212232221), we get a palindrome (223242424242322).

It can be divided in two parts, 1222322120 and 10101, that added together give a palindrome (1222332221).

The spelling of 122232212010101 in words is "one hundred twenty-two trillion, two hundred thirty-two billion, two hundred twelve million, ten thousand, one hundred one".

Divisors: 1 31 41 271 1271 5477 8401 11111 64793 169787 224557 344441 1484267 2008583 2656513 6961267 17558903 46012277 60854947 82351903 354871261 544325993 719915023 1886503357 11001009091 14549721701 22317365713 96170111731 451041372731 2981273463661 3942974580971 122232212010101