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112219047941 = 71113711739127
BaseRepresentation
bin110100010000011000…
…1101100100000000101
3101201122201221021212212
41220200301230200011
53314311034013231
6123315215353205
711051615111660
oct1504061544005
9351581837785
10112219047941
11436567aa730
12198b9b22805
13a77516a520
145607bbc6d7
152dbbd2842b
hex1a20c6c805

112219047941 has 64 divisors (see below), whose sum is σ = 153693904896. Its totient is φ = 79111468800.

The previous prime is 112219047929. The next prime is 112219048003. The reversal of 112219047941 is 149740912211.

It is not a de Polignac number, because 112219047941 - 214 = 112219031557 is a prime.

It is a super-2 number, since 2×1122190479412 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112219047641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12290720 + ... + 12299846.

It is an arithmetic number, because the mean of its divisors is an integer number (2401467264).

Almost surely, 2112219047941 is an apocalyptic number.

112219047941 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112219047941 is a deficient number, since it is larger than the sum of its proper divisors (41474856955).

112219047941 is a wasteful number, since it uses less digits than its factorization.

112219047941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9402.

The product of its (nonzero) digits is 36288, while the sum is 41.

The spelling of 112219047941 in words is "one hundred twelve billion, two hundred nineteen million, forty-seven thousand, nine hundred forty-one".

Divisors: 1 7 11 13 71 77 91 143 173 497 781 923 1001 1211 1903 2249 5467 6461 9127 10153 12283 13321 15743 24739 63889 71071 85981 100397 118651 135113 159679 173173 648017 702779 830557 945791 1117753 1305161 1578971 1756469 4536119 7128187 8424221 9136127 11052797 12295283 17368681 20526623 49897309 58969547 92666431 112106941 121580767 143686361 225792853 648665017 784748587 1233176351 1457390233 1580549971 8632234457 10201731631 16031292563 112219047941