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112111112111201 = 7241481713796119
BaseRepresentation
bin11001011111011011100111…
…000000110100010001100001
3112200221201101011102201012222
4121133123213000310101201
5104143312024200024301
61034235044531000425
732420521604423030
oct3137334700642141
9480851334381188
10112111112111201
11327a4068068755
12106a7a74739115
134a73056563b98
141d982c7586717
15ce640226231b
hex65f6e7034461

112111112111201 has 16 divisors (see below), whose sum is σ = 128685351125760. Its totient is φ = 95676630174720.

The previous prime is 112111112111197. The next prime is 112111112111209. The reversal of 112111112111201 is 102111211111211.

It is a happy number.

It is not a de Polignac number, because 112111112111201 - 22 = 112111112111197 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 112111112111201.

It is not an unprimeable number, because it can be changed into a prime (112111112111209) 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 15 ways as a sum of consecutive naturals, for example, 1228220 + ... + 15024338.

It is an arithmetic number, because the mean of its divisors is an integer number (8042834445360).

Almost surely, 2112111112111201 is an apocalyptic number.

It is an amenable number.

112111112111201 is a deficient number, since it is larger than the sum of its proper divisors (16574239014559).

112111112111201 is a wasteful number, since it uses less digits than its factorization.

112111112111201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13801184.

The product of its (nonzero) digits is 8, while the sum is 17.

Adding to 112111112111201 its reverse (102111211111211), we get a palindrome (214222323222412).

The spelling of 112111112111201 in words is "one hundred twelve trillion, one hundred eleven billion, one hundred twelve million, one hundred eleven thousand, two hundred one".

Divisors: 1 7 241 1687 4817 33719 1160897 8126279 13796119 96572833 3324864679 23274052753 66455905223 465191336561 16015873158743 112111112111201