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3322031122112 = 262361239154799
BaseRepresentation
bin110000010101111000011…
…111000010011011000000
3102202120202001122021011212
4300111320133002123000
5413412004431401422
611022041532025252
7462003012426233
oct60257037023300
912676661567155
103322031122112
111070957a6610a
124579b9602228
131b135ca89431
14b6b03d9b41a
155b63112c9e2
hex305787c26c0

3322031122112 has 112 divisors (see below), whose sum is σ = 7020836352000. Its totient is φ = 1556202869760.

The previous prime is 3322031122103. The next prime is 3322031122121. The reversal of 3322031122112 is 2112211302233.

It is an interprime number because it is at equal distance from previous prime (3322031122103) and next prime (3322031122121).

It is a super-5 number, since 5×33220311221125 (a number of 64 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21382889 + ... + 21537687.

Almost surely, 23322031122112 is an apocalyptic number.

3322031122112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3322031122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3510418176000).

3322031122112 is an abundant number, since it is smaller than the sum of its proper divisors (3698805229888).

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

3322031122112 is a wasteful number, since it uses less digits than its factorization.

3322031122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155134 (or 155124 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 3322031122112 its reverse (2112211302233), we get a palindrome (5434242424345).

The spelling of 3322031122112 in words is "three trillion, three hundred twenty-two billion, thirty-one million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 61 64 92 122 184 239 244 368 478 488 736 956 976 1403 1472 1912 1952 2806 3824 3904 5497 5612 7648 10994 11224 14579 15296 21988 22448 29158 43976 44896 58316 87952 89792 116632 154799 175904 233264 309598 335317 351808 466528 619196 670634 933056 1238392 1341268 2476784 2682536 3560377 4953568 5365072 7120754 9442739 9907136 10730144 14241508 18885478 21460288 28483016 36996961 37770956 56966032 73993922 75541912 113932064 147987844 151083824 217182997 227864128 295975688 302167648 434365994 591951376 604335296 850930103 868731988 1183902752 1701860206 1737463976 2256814621 2367805504 3403720412 3474927952 4513629242 6807440824 6949855904 9027258484 13614881648 13899711808 18054516968 27229763296 36109033936 51906736283 54459526592 72218067872 103813472566 144436135744 207626945132 415253890264 830507780528 1661015561056 3322031122112