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112211212226101 is a prime number
BaseRepresentation
bin11001100000111000110101…
…011100011100111000110101
3112201022021202022110102021221
4121200320311130130320311
5104201432030312213401
61034353041431510341
732430664305362512
oct3140706534347065
9481267668412257
10112211212226101
1132832564a6363a
121070334bb283b1
134a7c619a274c1
141d9d0a1a28309
15ce8d101757a1
hex660e3571ce35

112211212226101 has 2 divisors, whose sum is σ = 112211212226102. Its totient is φ = 112211212226100.

The previous prime is 112211212226041. The next prime is 112211212226123. The reversal of 112211212226101 is 101622212112211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 107175788425476 + 5035423800625 = 10352574^2 + 2243975^2 .

It is a cyclic number.

It is not a de Polignac number, because 112211212226101 - 241 = 110012188970549 is a prime.

It is a super-2 number, since 2×1122112122261012 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112211212296101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56105606113050 + 56105606113051.

It is an arithmetic number, because the mean of its divisors is an integer number (56105606113051).

Almost surely, 2112211212226101 is an apocalyptic number.

It is an amenable number.

112211212226101 is a deficient number, since it is larger than the sum of its proper divisors (1).

112211212226101 is an equidigital number, since it uses as much as digits as its factorization.

112211212226101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 384, while the sum is 25.

Adding to 112211212226101 its reverse (101622212112211), we get a palindrome (213833424338312).

The spelling of 112211212226101 in words is "one hundred twelve trillion, two hundred eleven billion, two hundred twelve million, two hundred twenty-six thousand, one hundred one".