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221021112110112 = 25321037450819583
BaseRepresentation
bin110010010000010001111100…
…111000000000110000100000
31001222120102010022200022020100
4302100101330320000300200
5212432202214200010422
62102023410331542400
764361151125144046
oct6220217470006040
91058512108608210
10221021112110112
1164473588861066
12209574572baa00
139643280746ba2
143c8169c182396
151a843edd817ac
hexc9047ce00c20

221021112110112 has 72 divisors (see below), whose sum is σ = 634631008886784. Its totient is φ = 72958425346944.

The previous prime is 221021112110081. The next prime is 221021112110173. The reversal of 221021112110112 is 211011211120122.

It is a happy number.

221021112110112 is a `hidden beast` number, since 2 + 210 + 211 + 121 + 10 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3725380128 + ... + 3725439455.

It is an arithmetic number, because the mean of its divisors is an integer number (8814319567872).

Almost surely, 2221021112110112 is an apocalyptic number.

It is an amenable number.

221021112110112 is an abundant number, since it is smaller than the sum of its proper divisors (413609896776672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221021112110112 is a wasteful number, since it uses less digits than its factorization.

221021112110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7450819702 (or 7450819691 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 221021112110112 its reverse (211011211120122), we get a palindrome (432032323230234).

The spelling of 221021112110112 in words is "two hundred twenty-one trillion, twenty-one billion, one hundred twelve million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 103 144 206 288 309 412 618 824 927 1236 1648 1854 2472 3296 3708 4944 7416 9888 14832 29664 7450819583 14901639166 22352458749 29803278332 44704917498 59606556664 67057376247 89409834996 119213113328 134114752494 178819669992 238426226656 268229504988 357639339984 536459009976 715278679968 767434417049 1072918019952 1534868834098 2145836039904 2302303251147 3069737668196 4604606502294 6139475336392 6906909753441 9209213004588 12278950672784 13813819506882 18418426009176 24557901345568 27627639013764 36836852018352 55255278027528 73673704036704 110510556055056 221021112110112