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222213013001 = 72130114892341
BaseRepresentation
bin1100111011110011101…
…1010111111000001001
3210020120101222122212122
43032330323113320021
512120043012404001
6250025552021025
722024434305600
oct3167473277011
9706511878778
10222213013001
11862704a8691
1237096831775
1317c54333555
14aa80270a37
155ba862cb1b
hex33bced7e09

222213013001 has 24 divisors (see below), whose sum is σ = 258975690120. Its totient is φ = 190112832000.

The previous prime is 222213012991. The next prime is 222213013007. The reversal of 222213013001 is 100310312222.

It can be written as a sum of positive squares in 4 ways, for example, as 673350601 + 221539662400 = 25949^2 + 470680^2 .

It is not a de Polignac number, because 222213013001 - 222 = 222208818697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (222213013007) 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, 94921091 + ... + 94923431.

It is an arithmetic number, because the mean of its divisors is an integer number (10790653755).

Almost surely, 2222213013001 is an apocalyptic number.

It is an amenable number.

222213013001 is a deficient number, since it is larger than the sum of its proper divisors (36762677119).

222213013001 is a wasteful number, since it uses less digits than its factorization.

222213013001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5145 (or 5138 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 222213013001 its reverse (100310312222), we get a palindrome (322523325223).

The spelling of 222213013001 in words is "two hundred twenty-two billion, two hundred thirteen million, thirteen thousand, one".

Divisors: 1 7 49 1301 1489 2341 9107 10423 16387 63749 72961 114709 1937189 3045641 3485749 13560323 21319487 24400243 94922261 149236409 170801701 4534959449 31744716143 222213013001