Search a number
-
+
122220302112100 = 22521245798113753
BaseRepresentation
bin11011110010100010100001…
…101100010001010101100100
3121000202010221222220201112201
4123302202201230101111210
5112004424134320041400
61111535122012424244
734513061010560353
oct3362424154212544
9530663858821481
10122220302112100
1135a413802a1535
121185b143a78084
13532742c14509a
1422276cc08999a
15e1e36d0ed06a
hex6f28a1b11564

122220302112100 has 36 divisors (see below), whose sum is σ = 265239348971044. Its totient is φ = 48884195796480.

The previous prime is 122220302112061. The next prime is 122220302112109. The reversal of 122220302112100 is 1211203022221.

It can be written as a sum of positive squares in 6 ways, for example, as 6294037299264 + 115926264812836 = 2508792^2 + 10766906^2 .

It is not an unprimeable number, because it can be changed into a prime (122220302112109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47811177 + ... + 50302576.

Almost surely, 2122220302112100 is an apocalyptic number.

122220302112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122220302112100 is an abundant number, since it is smaller than the sum of its proper divisors (143019046858944).

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

122220302112100 is a wasteful number, since it uses less digits than its factorization.

122220302112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98126224 (or 98126217 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 122220302112100 its reverse (1211203022221), we get a palindrome (123431505134321).

The spelling of 122220302112100 in words is "one hundred twenty-two trillion, two hundred twenty billion, three hundred two million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 12457 24914 49828 62285 124570 249140 311425 622850 1245700 98113753 196227506 392455012 490568765 981137530 1962275060 2452843825 4905687650 9811375300 1222203021121 2444406042242 4888812084484 6111015105605 12222030211210 24444060422420 30555075528025 61110151056050 122220302112100