Search a number
-
+
122232210102 = 2321737101139769
BaseRepresentation
bin111000111010110011…
…0111000001010110110
3102200111120110122002200
41301311212320022312
54000312421210402
6132052552245330
711555012433402
oct1616546701266
9380446418080
10122232210102
1147924994662
121b8333a0846
13b6ac7b5952
145cb79aa102
1532a5e3621c
hex1c759b82b6

122232210102 has 192 divisors, whose sum is σ = 293318625600. Its totient is φ = 36628070400.

The previous prime is 122232210083. The next prime is 122232210127. The reversal of 122232210102 is 201012232221.

122232210102 is a `hidden beast` number, since 122 + 232 + 210 + 102 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 158949174 + ... + 158949942.

It is an arithmetic number, because the mean of its divisors is an integer number (1527701175).

Almost surely, 2122232210102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122232210102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146659312800).

122232210102 is an abundant number, since it is smaller than the sum of its proper divisors (171086415498).

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

122232210102 is a wasteful number, since it uses less digits than its factorization.

122232210102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 122232210102 its reverse (201012232221), we get a palindrome (323244442323).

The spelling of 122232210102 in words is "one hundred twenty-two billion, two hundred thirty-two million, two hundred ten thousand, one hundred two".