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222112100202112 = 273234135365433
BaseRepresentation
bin110010100000001010000000…
…110101010011011010000000
31002010102201011011020201020201
4302200022000311103122000
5213103041040122431422
62104220520141014544
764533032621003251
oct6240120065233200
91063381134221221
10222112100202112
11648542381281aa
1220ab2990b54454
1396c2109462a03
143cbc3d6814b28
151aa29a35a2727
hexca0280d53680

222112100202112 has 32 divisors (see below), whose sum is σ = 442490400277380. Its totient is φ = 111055686014976.

The previous prime is 222112100202103. The next prime is 222112100202121. The reversal of 222112100202112 is 211202001211222.

It is an interprime number because it is at equal distance from previous prime (222112100202103) and next prime (222112100202121).

It can be written as a sum of positive squares in 2 ways, for example, as 172966055542336 + 49146044659776 = 13151656^2 + 7010424^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 222112100202112.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38714148 + ... + 44079580.

Almost surely, 2222112100202112 is an apocalyptic number.

It is an amenable number.

222112100202112 is a deficient number, since it is larger than the sum of its proper divisors (220378300075268).

222112100202112 is an equidigital number, since it uses as much as digits as its factorization.

222112100202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5688860 (or 5688848 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 222112100202112 its reverse (211202001211222), we get a palindrome (433314101413334).

The spelling of 222112100202112 in words is "two hundred twenty-two trillion, one hundred twelve billion, one hundred million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 323413 646826 1293652 2587304 5174608 5365433 10349216 10730866 20698432 21461732 41396864 42923464 85846928 171693856 343387712 686775424 1735250782829 3470501565658 6941003131316 13882006262632 27764012525264 55528025050528 111056050101056 222112100202112