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112211001002219 = 73110917327422251
BaseRepresentation
bin11001100000111000101000…
…110110101100100011101011
3112201022021012121000010121012
4121200320220312230203223
5104201431112224032334
61034353004444334135
732430656132120450
oct3140705066544353
9481267177003535
10112211001002219
1132832466804a49
12107032b124434b
134a7c5b5040562
141d9d081963827
15ce8ceb8509ce
hex660e28dac8eb

112211001002219 has 32 divisors (see below), whose sum is σ = 134364647239680. Its totient is φ = 91691228880000.

The previous prime is 112211001002189. The next prime is 112211001002227. The reversal of 112211001002219 is 912200100112211.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 112211001002219 - 212 = 112211000998123 is a prime.

It is a super-2 number, since 2×1122110010022192 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 112211001002194 and 112211001002203.

It is not an unprimeable number, because it can be changed into a prime (112211001002119) 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, 9619157 + ... + 17803094.

It is an arithmetic number, because the mean of its divisors is an integer number (4198895226240).

Almost surely, 2112211001002219 is an apocalyptic number.

112211001002219 is a deficient number, since it is larger than the sum of its proper divisors (22153646237461).

112211001002219 is a wasteful number, since it uses less digits than its factorization.

112211001002219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27422571.

The product of its (nonzero) digits is 144, while the sum is 23.

The spelling of 112211001002219 in words is "one hundred twelve trillion, two hundred eleven billion, one million, two thousand, two hundred nineteen".

Divisors: 1 7 31 109 173 217 763 1211 3379 5363 18857 23653 37541 131999 584567 4091969 27422251 191955757 850089781 2989025359 4744049423 5950628467 20923177513 33208345961 92659786129 147065532113 517101387107 648618502903 1029458724791 3619709709749 16030143000317 112211001002219