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100122102202212 = 22322781169505617
BaseRepresentation
bin10110110000111101111110…
…010101011111111101100100
3111010111120122110011002002100
4112300331332111133331210
5101110400031130432322
6552535243032412100
730042404012553126
oct2660757625377544
9433446573132070
10100122102202212
11299a15aa5739a2
12b290401547030
1343b3620a0c63c
141aa1d15419216
15b896140c4dac
hex5b0f7e55ff64

100122102202212 has 18 divisors (see below), whose sum is σ = 253086425011238. Its totient is φ = 33374034067392.

The previous prime is 100122102202183. The next prime is 100122102202229. The reversal of 100122102202212 is 212202201221001.

It is a happy number.

100122102202212 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 221 + 0 + 220 + 221 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 92161036802916 + 7961065399296 = 9600054^2 + 2821536^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×1001221022022123 (a number of 43 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1390584752773 + ... + 1390584752844.

Almost surely, 2100122102202212 is an apocalyptic number.

100122102202212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100122102202212 is an abundant number, since it is smaller than the sum of its proper divisors (152964322809026).

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

100122102202212 is a wasteful number, since it uses less digits than its factorization.

100122102202212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2781169505627 (or 2781169505622 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100122102202212 its reverse (212202201221001), we get a palindrome (312324303423213).

The spelling of 100122102202212 in words is "one hundred trillion, one hundred twenty-two billion, one hundred two million, two hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 2781169505617 5562339011234 8343508516851 11124678022468 16687017033702 25030525550553 33374034067404 50061051101106 100122102202212