Search a number
-
+
122210342100 = 22325271131163349
BaseRepresentation
bin111000111010001001…
…1011101010011010100
3102200110001022121211200
41301310103131103110
54000241321421400
6132050451432500
711554325524320
oct1616423352324
9380401277750
10122210342100
1147913608930
121b827bb5730
13b6a80ca1c2
145cb4b16980
1532a4066b00
hex1c744dd4d4

122210342100 has 864 divisors, whose sum is σ = 497434828800. Its totient is φ = 24354432000.

The previous prime is 122210342099. The next prime is 122210342147. The reversal of 122210342100 is 1243012221.

It is a happy number.

122210342100 is a `hidden beast` number, since 1 + 2 + 221 + 0 + 342 + 100 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 350172726 + ... + 350173074.

Almost surely, 2122210342100 is an apocalyptic number.

122210342100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122210342100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248717414400).

122210342100 is an abundant number, since it is smaller than the sum of its proper divisors (375224486700).

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

122210342100 is a wasteful number, since it uses less digits than its factorization.

122210342100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 571 counting only the distinct ones).

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

Adding to 122210342100 its reverse (1243012221), we get a palindrome (123453354321).

The spelling of 122210342100 in words is "one hundred twenty-two billion, two hundred ten million, three hundred forty-two thousand, one hundred".