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222112302011131 = 7316144813744623
BaseRepresentation
bin110010100000001010001100…
…110111001001001011111011
31002010102201200012222200011211
4302200022030313021023323
5213103041443303324011
62104220552150303551
764533040621233610
oct6240121467111373
91063381605880154
10222112302011131
1164854331036314
1220ab2a28657bb7
1396c213c20152c
143cbc415548507
151aa29b6167b21
hexca028cdc92fb

222112302011131 has 32 divisors (see below), whose sum is σ = 266386200477696. Its totient is φ = 181179790848000.

The previous prime is 222112302011129. The next prime is 222112302011203. The reversal of 222112302011131 is 131110203211222.

It is a happy number.

It is not a de Polignac number, because 222112302011131 - 21 = 222112302011129 is a prime.

It is a super-3 number, since 3×2221123020111313 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (222112302051131) 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 31 ways as a sum of consecutive naturals, for example, 57442686 + ... + 61187308.

It is an arithmetic number, because the mean of its divisors is an integer number (8324568764928).

Almost surely, 2222112302011131 is an apocalyptic number.

222112302011131 is a deficient number, since it is larger than the sum of its proper divisors (44273898466565).

222112302011131 is a wasteful number, since it uses less digits than its factorization.

222112302011131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3749203.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 222112302011131 its reverse (131110203211222), we get a palindrome (353222505222353).

The spelling of 222112302011131 in words is "two hundred twenty-two trillion, one hundred twelve billion, three hundred two million, eleven thousand, one hundred thirty-one".

Divisors: 1 7 31 61 217 427 1891 4481 13237 31367 138911 273341 972377 1913387 3744623 8473571 26212361 59314997 116083313 228422003 812583191 1598954021 7081082093 16779655663 49567574651 117457589641 520169325553 1023558995443 3641185278871 7164912968101 31730328858733 222112302011131