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222202001100101 = 11229209029302941
BaseRepresentation
bin110010100001011101101111…
…010110000000110101000101
31002010202022012111122111222012
4302201131233112000311011
5213111024144240200401
62104330105021144005
764542364505014541
oct6241355726006505
91063668174574865
10222202001100101
1164889380910500
1220b082a06bb005
1396ca735897139
143cc28c44b6a21
151aa4eb5da58bb
hexca176f580d45

222202001100101 has 24 divisors (see below), whose sum is σ = 252662625377400. Its totient is φ = 195034662345600.

The previous prime is 222202001100083. The next prime is 222202001100119. The reversal of 222202001100101 is 101001100202222.

It is an interprime number because it is at equal distance from previous prime (222202001100083) and next prime (222202001100119).

It can be written as a sum of positive squares in 4 ways, for example, as 78734547816001 + 143467453284100 = 8873249^2 + 11977790^2 .

It is a de Polignac number, because none of the positive numbers 2k-222202001100101 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 (222202001100161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 733331291 + ... + 733634231.

It is an arithmetic number, because the mean of its divisors is an integer number (10527609390725).

Almost surely, 2222202001100101 is an apocalyptic number.

It is an amenable number.

222202001100101 is a deficient number, since it is larger than the sum of its proper divisors (30460624277299).

222202001100101 is a wasteful number, since it uses less digits than its factorization.

222202001100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512021 (or 512010 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 222202001100101 its reverse (101001100202222), we get a palindrome (323203101302323).

The spelling of 222202001100101 in words is "two hundred twenty-two trillion, two hundred two billion, one million, one hundred thousand, one hundred one".

Divisors: 1 11 29 121 319 3509 209029 302941 2299319 3332351 6061841 8785289 25292509 36655861 66680251 96638179 733482761 1063019969 63323454289 696557997179 1836380174381 7662137968969 20200181918191 222202001100101