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3303011322112 = 28611321160117
BaseRepresentation
bin110000000100001010110…
…100010000100100000000
3102200202122112112022112211
4300010022310100210000
5413104031344301422
611005214335431504
7460430461666255
oct60041264204400
912622575468484
103303011322112
111063887866937
1245418b985594
131ac61b4a85c8
14b5c1bd4b42c
155adbb481577
hex3010ad10900

3303011322112 has 72 divisors (see below), whose sum is σ = 6706318905272. Its totient is φ = 1623191961600.

The previous prime is 3303011322109. The next prime is 3303011322157. The reversal of 3303011322112 is 2112231103033.

It can be written as a sum of positive squares in 4 ways, for example, as 145936224256 + 3157075097856 = 382016^2 + 1776816^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20548678 + ... + 20708794.

Almost surely, 23303011322112 is an apocalyptic number.

3303011322112 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 3303011322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3353159452636).

3303011322112 is an abundant number, since it is smaller than the sum of its proper divisors (3403307583160).

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

3303011322112 is a wasteful number, since it uses less digits than its factorization.

3303011322112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161515 (or 161501 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 3303011322112 its reverse (2112231103033), we get a palindrome (5415242425145).

The spelling of 3303011322112 in words is "three trillion, three hundred three billion, eleven million, three hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 488 976 1321 1952 2642 3904 5284 7808 10568 15616 21136 42272 80581 84544 160117 161162 169088 320234 322324 338176 640468 644648 1280936 1289296 2561872 2578592 5123744 5157184 9767137 10247488 10314368 19534274 20494976 20628736 39068548 40989952 78137096 156274192 211514557 312548384 423029114 625096768 846058228 1250193536 1692116456 2500387072 3384232912 6768465824 12902387977 13536931648 25804775954 27073863296 51609551908 54147726592 103219103816 206438207632 412876415264 825752830528 1651505661056 3303011322112