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320033114112 = 2113181287783
BaseRepresentation
bin1001010100000110111…
…01011100100000000000
31010121001122202200000110
410222003131130200000
520220411434122422
6403004324151320
732056501405005
oct4520335344000
91117048680013
10320033114112
111137a8393458
1252036538540
132424332ba9a
14116bd9a78ac
1584d12bb60c
hex4a8375c800

320033114112 has 96 divisors (see below), whose sum is σ = 857930149440. Its totient is φ = 106087956480.

The previous prime is 320033114111. The next prime is 320033114119. The reversal of 320033114112 is 211411330023.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (320033114111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 968173 + ... + 1255955.

It is an arithmetic number, because the mean of its divisors is an integer number (8936772390).

Almost surely, 2320033114112 is an apocalyptic number.

320033114112 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 320033114112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428965074720).

320033114112 is an abundant number, since it is smaller than the sum of its proper divisors (537897035328).

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

320033114112 is a wasteful number, since it uses less digits than its factorization.

320033114112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287989 (or 287969 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 320033114112 its reverse (211411330023), we get a palindrome (531444444135).

The spelling of 320033114112 in words is "three hundred twenty billion, thirty-three million, one hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 181 192 256 362 384 512 543 724 768 1024 1086 1448 1536 2048 2172 2896 3072 4344 5792 6144 8688 11584 17376 23168 34752 46336 69504 92672 139008 185344 278016 287783 370688 556032 575566 863349 1112064 1151132 1726698 2302264 3453396 4604528 6906792 9209056 13813584 18418112 27627168 36836224 52088723 55254336 73672448 104177446 110508672 147344896 156266169 208354892 221017344 294689792 312532338 416709784 442034688 589379584 625064676 833419568 884069376 1250129352 1666839136 1768138752 2500258704 3333678272 5000517408 6667356544 10001034816 13334713088 20002069632 26669426176 40004139264 53338852352 80008278528 106677704704 160016557056 320033114112